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Finding the Fourth Proportional to 2,078.62, 2,865.44 and 1,488.13

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Solution

The fourth proportional to 2,078.62, 2,865.44 and 1,488.13 is: 2,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.62 : 2,865.44 = 1,488.13 : x
  2. Step 2: Convert to fraction form
    2,078.62/2,865.44 = 1,488.13/x
  3. Step 3: Cross multiply
    2,078.62x = 2,865.44 × 1,488.13
  4. Step 4: Simplify right side
    2,078.62x = 4,264,143.78
  5. Step 5: Solve for x
    x = 4,264,143.78/2,078.62
  6. Step 6: Final answer
    x = 2,051.43

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