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Finding the Fourth Proportional to 1,384.73, 1,911.87 and 1,069.47

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Solution

The fourth proportional to 1,384.73, 1,911.87 and 1,069.47 is: 1,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.73 : 1,911.87 = 1,069.47 : x
  2. Step 2: Convert to fraction form
    1,384.73/1,911.87 = 1,069.47/x
  3. Step 3: Cross multiply
    1,384.73x = 1,911.87 × 1,069.47
  4. Step 4: Simplify right side
    1,384.73x = 2,044,687.61
  5. Step 5: Solve for x
    x = 2,044,687.61/1,384.73
  6. Step 6: Final answer
    x = 1,476.60

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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.