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Finding the Fourth Proportional to 2,767.55, 4,151.42 and 1,124.06

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Solution

The fourth proportional to 2,767.55, 4,151.42 and 1,124.06 is: 1,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.55 : 4,151.42 = 1,124.06 : x
  2. Step 2: Convert to fraction form
    2,767.55/4,151.42 = 1,124.06/x
  3. Step 3: Cross multiply
    2,767.55x = 4,151.42 × 1,124.06
  4. Step 4: Simplify right side
    2,767.55x = 4,666,439.54
  5. Step 5: Solve for x
    x = 4,666,439.54/2,767.55
  6. Step 6: Final answer
    x = 1,686.13

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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.