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Finding the Fourth Proportional to 2,346.70, 3,524.10 and 1,253.20

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Solution

The fourth proportional to 2,346.70, 3,524.10 and 1,253.20 is: 1,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.70 : 3,524.10 = 1,253.20 : x
  2. Step 2: Convert to fraction form
    2,346.70/3,524.10 = 1,253.20/x
  3. Step 3: Cross multiply
    2,346.70x = 3,524.10 × 1,253.20
  4. Step 4: Simplify right side
    2,346.70x = 4,416,402.12
  5. Step 5: Solve for x
    x = 4,416,402.12/2,346.70
  6. Step 6: Final answer
    x = 1,881.96

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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.