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Finding the Fourth Proportional to 2,564.47, 3,538.99 and 1,502.00

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Solution

The fourth proportional to 2,564.47, 3,538.99 and 1,502.00 is: 2,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.47 : 3,538.99 = 1,502.00 : x
  2. Step 2: Convert to fraction form
    2,564.47/3,538.99 = 1,502.00/x
  3. Step 3: Cross multiply
    2,564.47x = 3,538.99 × 1,502.00
  4. Step 4: Simplify right side
    2,564.47x = 5,315,560.43
  5. Step 5: Solve for x
    x = 5,315,560.43/2,564.47
  6. Step 6: Final answer
    x = 2,072.77

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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.