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Finding the Fourth Proportional to 2,564.75, 3,538.13 and 1,569.93

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Solution

The fourth proportional to 2,564.75, 3,538.13 and 1,569.93 is: 2,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.75 : 3,538.13 = 1,569.93 : x
  2. Step 2: Convert to fraction form
    2,564.75/3,538.13 = 1,569.93/x
  3. Step 3: Cross multiply
    2,564.75x = 3,538.13 × 1,569.93
  4. Step 4: Simplify right side
    2,564.75x = 5,554,608.58
  5. Step 5: Solve for x
    x = 5,554,608.58/2,564.75
  6. Step 6: Final answer
    x = 2,165.75

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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.