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Finding the Fourth Proportional to 1,384.88, 1,911.35 and 887.49

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Solution

The fourth proportional to 1,384.88, 1,911.35 and 887.49 is: 1,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.88 : 1,911.35 = 887.49 : x
  2. Step 2: Convert to fraction form
    1,384.88/1,911.35 = 887.49/x
  3. Step 3: Cross multiply
    1,384.88x = 1,911.35 × 887.49
  4. Step 4: Simplify right side
    1,384.88x = 1,696,304.01
  5. Step 5: Solve for x
    x = 1,696,304.01/1,384.88
  6. Step 6: Final answer
    x = 1,224.87

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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.