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Finding the Fourth Proportional to 1,550.32, 2,139.30 and 887.02

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Solution

The fourth proportional to 1,550.32, 2,139.30 and 887.02 is: 1,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.32 : 2,139.30 = 887.02 : x
  2. Step 2: Convert to fraction form
    1,550.32/2,139.30 = 887.02/x
  3. Step 3: Cross multiply
    1,550.32x = 2,139.30 × 887.02
  4. Step 4: Simplify right side
    1,550.32x = 1,897,601.89
  5. Step 5: Solve for x
    x = 1,897,601.89/1,550.32
  6. Step 6: Final answer
    x = 1,224.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.