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Finding the Fourth Proportional to 1,697.33, 2,342.21 and 951.32

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Solution

The fourth proportional to 1,697.33, 2,342.21 and 951.32 is: 1,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.33 : 2,342.21 = 951.32 : x
  2. Step 2: Convert to fraction form
    1,697.33/2,342.21 = 951.32/x
  3. Step 3: Cross multiply
    1,697.33x = 2,342.21 × 951.32
  4. Step 4: Simplify right side
    1,697.33x = 2,228,174.75
  5. Step 5: Solve for x
    x = 2,228,174.75/1,697.33
  6. Step 6: Final answer
    x = 1,312.76

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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.