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Finding the Fourth Proportional to 1,359.76, 2,038.82 and 921.55

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Solution

The fourth proportional to 1,359.76, 2,038.82 and 921.55 is: 1,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.76 : 2,038.82 = 921.55 : x
  2. Step 2: Convert to fraction form
    1,359.76/2,038.82 = 921.55/x
  3. Step 3: Cross multiply
    1,359.76x = 2,038.82 × 921.55
  4. Step 4: Simplify right side
    1,359.76x = 1,878,864.38
  5. Step 5: Solve for x
    x = 1,878,864.38/1,359.76
  6. Step 6: Final answer
    x = 1,381.77

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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.