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Finding the Fourth Proportional to 2,654.86, 3,663.78 and 1,476.01

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Solution

The fourth proportional to 2,654.86, 3,663.78 and 1,476.01 is: 2,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.86 : 3,663.78 = 1,476.01 : x
  2. Step 2: Convert to fraction form
    2,654.86/3,663.78 = 1,476.01/x
  3. Step 3: Cross multiply
    2,654.86x = 3,663.78 × 1,476.01
  4. Step 4: Simplify right side
    2,654.86x = 5,407,775.92
  5. Step 5: Solve for x
    x = 5,407,775.92/2,654.86
  6. Step 6: Final answer
    x = 2,036.93

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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.