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Finding the Fourth Proportional to 2,767.84, 4,153.28 and 1,124.55

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Solution

The fourth proportional to 2,767.84, 4,153.28 and 1,124.55 is: 1,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.84 : 4,153.28 = 1,124.55 : x
  2. Step 2: Convert to fraction form
    2,767.84/4,153.28 = 1,124.55/x
  3. Step 3: Cross multiply
    2,767.84x = 4,153.28 × 1,124.55
  4. Step 4: Simplify right side
    2,767.84x = 4,670,565.40
  5. Step 5: Solve for x
    x = 4,670,565.40/2,767.84
  6. Step 6: Final answer
    x = 1,687.44

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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.