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Finding the Fourth Proportional to 2,564.61, 3,538.21 and 1,502.19

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Solution

The fourth proportional to 2,564.61, 3,538.21 and 1,502.19 is: 2,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.61 : 3,538.21 = 1,502.19 : x
  2. Step 2: Convert to fraction form
    2,564.61/3,538.21 = 1,502.19/x
  3. Step 3: Cross multiply
    2,564.61x = 3,538.21 × 1,502.19
  4. Step 4: Simplify right side
    2,564.61x = 5,315,063.68
  5. Step 5: Solve for x
    x = 5,315,063.68/2,564.61
  6. Step 6: Final answer
    x = 2,072.46

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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.