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Finding the Fourth Proportional to 2,564.65, 3,538.85 and 1,569.97

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Solution

The fourth proportional to 2,564.65, 3,538.85 and 1,569.97 is: 2,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.65 : 3,538.85 = 1,569.97 : x
  2. Step 2: Convert to fraction form
    2,564.65/3,538.85 = 1,569.97/x
  3. Step 3: Cross multiply
    2,564.65x = 3,538.85 × 1,569.97
  4. Step 4: Simplify right side
    2,564.65x = 5,555,888.33
  5. Step 5: Solve for x
    x = 5,555,888.33/2,564.65
  6. Step 6: Final answer
    x = 2,166.33

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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.