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Finding the Fourth Proportional to 2,767.57, 4,151.59 and 1,124.08

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Solution

The fourth proportional to 2,767.57, 4,151.59 and 1,124.08 is: 1,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.57 : 4,151.59 = 1,124.08 : x
  2. Step 2: Convert to fraction form
    2,767.57/4,151.59 = 1,124.08/x
  3. Step 3: Cross multiply
    2,767.57x = 4,151.59 × 1,124.08
  4. Step 4: Simplify right side
    2,767.57x = 4,666,706.10
  5. Step 5: Solve for x
    x = 4,666,706.10/2,767.57
  6. Step 6: Final answer
    x = 1,686.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.