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Finding the Fourth Proportional to 2,660.96, 3,672.14 and 1,482.02

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Solution

The fourth proportional to 2,660.96, 3,672.14 and 1,482.02 is: 2,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.96 : 3,672.14 = 1,482.02 : x
  2. Step 2: Convert to fraction form
    2,660.96/3,672.14 = 1,482.02/x
  3. Step 3: Cross multiply
    2,660.96x = 3,672.14 × 1,482.02
  4. Step 4: Simplify right side
    2,660.96x = 5,442,184.92
  5. Step 5: Solve for x
    x = 5,442,184.92/2,660.96
  6. Step 6: Final answer
    x = 2,045.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.