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Finding the Fourth Proportional to 1,652.32, 2,478.49 and 677.74

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Solution

The fourth proportional to 1,652.32, 2,478.49 and 677.74 is: 1,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.32 : 2,478.49 = 677.74 : x
  2. Step 2: Convert to fraction form
    1,652.32/2,478.49 = 677.74/x
  3. Step 3: Cross multiply
    1,652.32x = 2,478.49 × 677.74
  4. Step 4: Simplify right side
    1,652.32x = 1,679,774.59
  5. Step 5: Solve for x
    x = 1,679,774.59/1,652.32
  6. Step 6: Final answer
    x = 1,016.61

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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.