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Finding the Fourth Proportional to 1,741.40, 2,612.23 and 508.82

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Solution

The fourth proportional to 1,741.40, 2,612.23 and 508.82 is: 763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.40 : 2,612.23 = 508.82 : x
  2. Step 2: Convert to fraction form
    1,741.40/2,612.23 = 508.82/x
  3. Step 3: Cross multiply
    1,741.40x = 2,612.23 × 508.82
  4. Step 4: Simplify right side
    1,741.40x = 1,329,154.87
  5. Step 5: Solve for x
    x = 1,329,154.87/1,741.40
  6. Step 6: Final answer
    x = 763.27

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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.