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Finding the Fourth Proportional to 2,654.25, 3,663.09 and 1,535.51

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Solution

The fourth proportional to 2,654.25, 3,663.09 and 1,535.51 is: 2,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.25 : 3,663.09 = 1,535.51 : x
  2. Step 2: Convert to fraction form
    2,654.25/3,663.09 = 1,535.51/x
  3. Step 3: Cross multiply
    2,654.25x = 3,663.09 × 1,535.51
  4. Step 4: Simplify right side
    2,654.25x = 5,624,693.01
  5. Step 5: Solve for x
    x = 5,624,693.01/2,654.25
  6. Step 6: Final answer
    x = 2,119.13

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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.