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Finding the Fourth Proportional to 2,878.80, 4,318.80 and 1,645.20

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Solution

The fourth proportional to 2,878.80, 4,318.80 and 1,645.20 is: 2,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.80 : 4,318.80 = 1,645.20 : x
  2. Step 2: Convert to fraction form
    2,878.80/4,318.80 = 1,645.20/x
  3. Step 3: Cross multiply
    2,878.80x = 4,318.80 × 1,645.20
  4. Step 4: Simplify right side
    2,878.80x = 7,105,289.76
  5. Step 5: Solve for x
    x = 7,105,289.76/2,878.80
  6. Step 6: Final answer
    x = 2,468.14

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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.