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Finding the Fourth Proportional to 2,346.23, 3,520.97 and 886.61

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Solution

The fourth proportional to 2,346.23, 3,520.97 and 886.61 is: 1,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.23 : 3,520.97 = 886.61 : x
  2. Step 2: Convert to fraction form
    2,346.23/3,520.97 = 886.61/x
  3. Step 3: Cross multiply
    2,346.23x = 3,520.97 × 886.61
  4. Step 4: Simplify right side
    2,346.23x = 3,121,705.17
  5. Step 5: Solve for x
    x = 3,121,705.17/2,346.23
  6. Step 6: Final answer
    x = 1,330.52

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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.