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Finding the Fourth Proportional to 2,230.32, 3,346.48 and 998.50

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Solution

The fourth proportional to 2,230.32, 3,346.48 and 998.50 is: 1,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.32 : 3,346.48 = 998.50 : x
  2. Step 2: Convert to fraction form
    2,230.32/3,346.48 = 998.50/x
  3. Step 3: Cross multiply
    2,230.32x = 3,346.48 × 998.50
  4. Step 4: Simplify right side
    2,230.32x = 3,341,460.28
  5. Step 5: Solve for x
    x = 3,341,460.28/2,230.32
  6. Step 6: Final answer
    x = 1,498.20

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.