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Finding the Fourth Proportional to 1,742.13, 2,612.91 and 571.77

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Solution

The fourth proportional to 1,742.13, 2,612.91 and 571.77 is: 857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.13 : 2,612.91 = 571.77 : x
  2. Step 2: Convert to fraction form
    1,742.13/2,612.91 = 571.77/x
  3. Step 3: Cross multiply
    1,742.13x = 2,612.91 × 571.77
  4. Step 4: Simplify right side
    1,742.13x = 1,493,983.55
  5. Step 5: Solve for x
    x = 1,493,983.55/1,742.13
  6. Step 6: Final answer
    x = 857.56

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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.