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Finding the Fourth Proportional to 2,595.40, 3,892.14 and 951.52

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Solution

The fourth proportional to 2,595.40, 3,892.14 and 951.52 is: 1,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.40 : 3,892.14 = 951.52 : x
  2. Step 2: Convert to fraction form
    2,595.40/3,892.14 = 951.52/x
  3. Step 3: Cross multiply
    2,595.40x = 3,892.14 × 951.52
  4. Step 4: Simplify right side
    2,595.40x = 3,703,449.05
  5. Step 5: Solve for x
    x = 3,703,449.05/2,595.40
  6. Step 6: Final answer
    x = 1,426.93

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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.