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Finding the Fourth Proportional to 1,301.32, 1,951.71 and 890.38

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Solution

The fourth proportional to 1,301.32, 1,951.71 and 890.38 is: 1,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.32 : 1,951.71 = 890.38 : x
  2. Step 2: Convert to fraction form
    1,301.32/1,951.71 = 890.38/x
  3. Step 3: Cross multiply
    1,301.32x = 1,951.71 × 890.38
  4. Step 4: Simplify right side
    1,301.32x = 1,737,763.55
  5. Step 5: Solve for x
    x = 1,737,763.55/1,301.32
  6. Step 6: Final answer
    x = 1,335.39

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