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Finding the Fourth Proportional to 1,538.47, 2,304.02 and 887.23

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Solution

The fourth proportional to 1,538.47, 2,304.02 and 887.23 is: 1,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.47 : 2,304.02 = 887.23 : x
  2. Step 2: Convert to fraction form
    1,538.47/2,304.02 = 887.23/x
  3. Step 3: Cross multiply
    1,538.47x = 2,304.02 × 887.23
  4. Step 4: Simplify right side
    1,538.47x = 2,044,192.12
  5. Step 5: Solve for x
    x = 2,044,192.12/1,538.47
  6. Step 6: Final answer
    x = 1,328.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.