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Finding the Fourth Proportional to 2,595.46, 3,890.87 and 951.62

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Solution

The fourth proportional to 2,595.46, 3,890.87 and 951.62 is: 1,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.46 : 3,890.87 = 951.62 : x
  2. Step 2: Convert to fraction form
    2,595.46/3,890.87 = 951.62/x
  3. Step 3: Cross multiply
    2,595.46x = 3,890.87 × 951.62
  4. Step 4: Simplify right side
    2,595.46x = 3,702,629.71
  5. Step 5: Solve for x
    x = 3,702,629.71/2,595.46
  6. Step 6: Final answer
    x = 1,426.58

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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.