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Finding the Fourth Proportional to 1,714.68, 2,572 and 416.15

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Solution

The fourth proportional to 1,714.68, 2,572 and 416.15 is: 624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.68 : 2,572 = 416.15 : x
  2. Step 2: Convert to fraction form
    1,714.68/2,572 = 416.15/x
  3. Step 3: Cross multiply
    1,714.68x = 2,572 × 416.15
  4. Step 4: Simplify right side
    1,714.68x = 1,070,337.80
  5. Step 5: Solve for x
    x = 1,070,337.80/1,714.68
  6. Step 6: Final answer
    x = 624.22

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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.