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Finding the Fourth Proportional to 1,741.52, 2,612.56 and 587.04

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Solution

The fourth proportional to 1,741.52, 2,612.56 and 587.04 is: 880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.52 : 2,612.56 = 587.04 : x
  2. Step 2: Convert to fraction form
    1,741.52/2,612.56 = 587.04/x
  3. Step 3: Cross multiply
    1,741.52x = 2,612.56 × 587.04
  4. Step 4: Simplify right side
    1,741.52x = 1,533,677.22
  5. Step 5: Solve for x
    x = 1,533,677.22/1,741.52
  6. Step 6: Final answer
    x = 880.65

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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.