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Finding the Fourth Proportional to 1,371.32, 1,890.78 and 951.35

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Solution

The fourth proportional to 1,371.32, 1,890.78 and 951.35 is: 1,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.32 : 1,890.78 = 951.35 : x
  2. Step 2: Convert to fraction form
    1,371.32/1,890.78 = 951.35/x
  3. Step 3: Cross multiply
    1,371.32x = 1,890.78 × 951.35
  4. Step 4: Simplify right side
    1,371.32x = 1,798,784.10
  5. Step 5: Solve for x
    x = 1,798,784.10/1,371.32
  6. Step 6: Final answer
    x = 1,311.72

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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.