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Finding the Fourth Proportional to 1,714.76, 2,572.96 and 1,642.54

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Solution

The fourth proportional to 1,714.76, 2,572.96 and 1,642.54 is: 2,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.76 : 2,572.96 = 1,642.54 : x
  2. Step 2: Convert to fraction form
    1,714.76/2,572.96 = 1,642.54/x
  3. Step 3: Cross multiply
    1,714.76x = 2,572.96 × 1,642.54
  4. Step 4: Simplify right side
    1,714.76x = 4,226,189.72
  5. Step 5: Solve for x
    x = 4,226,189.72/1,714.76
  6. Step 6: Final answer
    x = 2,464.60

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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.