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Finding the Fourth Proportional to 2,654.93, 3,663.50 and 1,535.70

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Solution

The fourth proportional to 2,654.93, 3,663.50 and 1,535.70 is: 2,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.93 : 3,663.50 = 1,535.70 : x
  2. Step 2: Convert to fraction form
    2,654.93/3,663.50 = 1,535.70/x
  3. Step 3: Cross multiply
    2,654.93x = 3,663.50 × 1,535.70
  4. Step 4: Simplify right side
    2,654.93x = 5,626,036.95
  5. Step 5: Solve for x
    x = 5,626,036.95/2,654.93
  6. Step 6: Final answer
    x = 2,119.09

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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.