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Finding the Fourth Proportional to 2,480.32, 3,703.46 and 2,114.92

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Solution

The fourth proportional to 2,480.32, 3,703.46 and 2,114.92 is: 3,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.32 : 3,703.46 = 2,114.92 : x
  2. Step 2: Convert to fraction form
    2,480.32/3,703.46 = 2,114.92/x
  3. Step 3: Cross multiply
    2,480.32x = 3,703.46 × 2,114.92
  4. Step 4: Simplify right side
    2,480.32x = 7,832,521.62
  5. Step 5: Solve for x
    x = 7,832,521.62/2,480.32
  6. Step 6: Final answer
    x = 3,157.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.