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Finding the Fourth Proportional to 1,742.56, 2,612.24 and 587.52

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Solution

The fourth proportional to 1,742.56, 2,612.24 and 587.52 is: 880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.56 : 2,612.24 = 587.52 : x
  2. Step 2: Convert to fraction form
    1,742.56/2,612.24 = 587.52/x
  3. Step 3: Cross multiply
    1,742.56x = 2,612.24 × 587.52
  4. Step 4: Simplify right side
    1,742.56x = 1,534,743.24
  5. Step 5: Solve for x
    x = 1,534,743.24/1,742.56
  6. Step 6: Final answer
    x = 880.74

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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.