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Finding the Fourth Proportional to 1,741.31, 2,612.36 and 508.73

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Solution

The fourth proportional to 1,741.31, 2,612.36 and 508.73 is: 763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.31 : 2,612.36 = 508.73 : x
  2. Step 2: Convert to fraction form
    1,741.31/2,612.36 = 508.73/x
  3. Step 3: Cross multiply
    1,741.31x = 2,612.36 × 508.73
  4. Step 4: Simplify right side
    1,741.31x = 1,328,993.71
  5. Step 5: Solve for x
    x = 1,328,993.71/1,741.31
  6. Step 6: Final answer
    x = 763.22

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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.