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Finding the Fourth Proportional to 1,714.79, 2,572.19 and 416.26

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Solution

The fourth proportional to 1,714.79, 2,572.19 and 416.26 is: 624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.79 : 2,572.19 = 416.26 : x
  2. Step 2: Convert to fraction form
    1,714.79/2,572.19 = 416.26/x
  3. Step 3: Cross multiply
    1,714.79x = 2,572.19 × 416.26
  4. Step 4: Simplify right side
    1,714.79x = 1,070,697.73
  5. Step 5: Solve for x
    x = 1,070,697.73/1,714.79
  6. Step 6: Final answer
    x = 624.39

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