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Finding the Fourth Proportional to 2,654.91, 3,663.90 and 1,476

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Solution

The fourth proportional to 2,654.91, 3,663.90 and 1,476 is: 2,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.91 : 3,663.90 = 1,476 : x
  2. Step 2: Convert to fraction form
    2,654.91/3,663.90 = 1,476/x
  3. Step 3: Cross multiply
    2,654.91x = 3,663.90 × 1,476
  4. Step 4: Simplify right side
    2,654.91x = 5,407,916.40
  5. Step 5: Solve for x
    x = 5,407,916.40/2,654.91
  6. Step 6: Final answer
    x = 2,036.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.