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Finding the Fourth Proportional to 1,741.66, 2,612.21 and 508.82

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Solution

The fourth proportional to 1,741.66, 2,612.21 and 508.82 is: 763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.66 : 2,612.21 = 508.82 : x
  2. Step 2: Convert to fraction form
    1,741.66/2,612.21 = 508.82/x
  3. Step 3: Cross multiply
    1,741.66x = 2,612.21 × 508.82
  4. Step 4: Simplify right side
    1,741.66x = 1,329,129.09
  5. Step 5: Solve for x
    x = 1,329,129.09/1,741.66
  6. Step 6: Final answer
    x = 763.14

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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.