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Finding the Fourth Proportional to 2,562.95, 3,538.76 and 1,569.58

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Solution

The fourth proportional to 2,562.95, 3,538.76 and 1,569.58 is: 2,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.95 : 3,538.76 = 1,569.58 : x
  2. Step 2: Convert to fraction form
    2,562.95/3,538.76 = 1,569.58/x
  3. Step 3: Cross multiply
    2,562.95x = 3,538.76 × 1,569.58
  4. Step 4: Simplify right side
    2,562.95x = 5,554,356.11
  5. Step 5: Solve for x
    x = 5,554,356.11/2,562.95
  6. Step 6: Final answer
    x = 2,167.18

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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.