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Finding the Fourth Proportional to 1,652.67, 2,479.14 and 1,646.73

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Solution

The fourth proportional to 1,652.67, 2,479.14 and 1,646.73 is: 2,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.67 : 2,479.14 = 1,646.73 : x
  2. Step 2: Convert to fraction form
    1,652.67/2,479.14 = 1,646.73/x
  3. Step 3: Cross multiply
    1,652.67x = 2,479.14 × 1,646.73
  4. Step 4: Simplify right side
    1,652.67x = 4,082,474.21
  5. Step 5: Solve for x
    x = 4,082,474.21/1,652.67
  6. Step 6: Final answer
    x = 2,470.23

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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.