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Finding the Fourth Proportional to 2,119.52, 2,925.71 and 1,280.22

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Solution

The fourth proportional to 2,119.52, 2,925.71 and 1,280.22 is: 1,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.52 : 2,925.71 = 1,280.22 : x
  2. Step 2: Convert to fraction form
    2,119.52/2,925.71 = 1,280.22/x
  3. Step 3: Cross multiply
    2,119.52x = 2,925.71 × 1,280.22
  4. Step 4: Simplify right side
    2,119.52x = 3,745,552.46
  5. Step 5: Solve for x
    x = 3,745,552.46/2,119.52
  6. Step 6: Final answer
    x = 1,767.17

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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.