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Finding the Fourth Proportional to 1,697.32, 2,342.14 and 951.31

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Solution

The fourth proportional to 1,697.32, 2,342.14 and 951.31 is: 1,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.32 : 2,342.14 = 951.31 : x
  2. Step 2: Convert to fraction form
    1,697.32/2,342.14 = 951.31/x
  3. Step 3: Cross multiply
    1,697.32x = 2,342.14 × 951.31
  4. Step 4: Simplify right side
    1,697.32x = 2,228,101.20
  5. Step 5: Solve for x
    x = 2,228,101.20/1,697.32
  6. Step 6: Final answer
    x = 1,312.72

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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.