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Finding the Fourth Proportional to 1,663.28, 2,494.71 and 841.13

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Solution

The fourth proportional to 1,663.28, 2,494.71 and 841.13 is: 1,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.28 : 2,494.71 = 841.13 : x
  2. Step 2: Convert to fraction form
    1,663.28/2,494.71 = 841.13/x
  3. Step 3: Cross multiply
    1,663.28x = 2,494.71 × 841.13
  4. Step 4: Simplify right side
    1,663.28x = 2,098,362.95
  5. Step 5: Solve for x
    x = 2,098,362.95/1,663.28
  6. Step 6: Final answer
    x = 1,261.59

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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.