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Finding the Fourth Proportional to 1,384.87, 1,910.24 and 887.33

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Solution

The fourth proportional to 1,384.87, 1,910.24 and 887.33 is: 1,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.87 : 1,910.24 = 887.33 : x
  2. Step 2: Convert to fraction form
    1,384.87/1,910.24 = 887.33/x
  3. Step 3: Cross multiply
    1,384.87x = 1,910.24 × 887.33
  4. Step 4: Simplify right side
    1,384.87x = 1,695,013.26
  5. Step 5: Solve for x
    x = 1,695,013.26/1,384.87
  6. Step 6: Final answer
    x = 1,223.95

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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.