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Finding the Fourth Proportional to 2,617.84, 3,612.12 and 1,569.52

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Solution

The fourth proportional to 2,617.84, 3,612.12 and 1,569.52 is: 2,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.84 : 3,612.12 = 1,569.52 : x
  2. Step 2: Convert to fraction form
    2,617.84/3,612.12 = 1,569.52/x
  3. Step 3: Cross multiply
    2,617.84x = 3,612.12 × 1,569.52
  4. Step 4: Simplify right side
    2,617.84x = 5,669,294.58
  5. Step 5: Solve for x
    x = 5,669,294.58/2,617.84
  6. Step 6: Final answer
    x = 2,165.64

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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.