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Finding the Fourth Proportional to 2,078.47, 2,868.30 and 1,134.28

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Solution

The fourth proportional to 2,078.47, 2,868.30 and 1,134.28 is: 1,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.47 : 2,868.30 = 1,134.28 : x
  2. Step 2: Convert to fraction form
    2,078.47/2,868.30 = 1,134.28/x
  3. Step 3: Cross multiply
    2,078.47x = 2,868.30 × 1,134.28
  4. Step 4: Simplify right side
    2,078.47x = 3,253,448.15
  5. Step 5: Solve for x
    x = 3,253,448.15/2,078.47
  6. Step 6: Final answer
    x = 1,565.31

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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.