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Finding the Fourth Proportional to 2,078.32, 2,868.07 and 1,146.82

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Solution

The fourth proportional to 2,078.32, 2,868.07 and 1,146.82 is: 1,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.32 : 2,868.07 = 1,146.82 : x
  2. Step 2: Convert to fraction form
    2,078.32/2,868.07 = 1,146.82/x
  3. Step 3: Cross multiply
    2,078.32x = 2,868.07 × 1,146.82
  4. Step 4: Simplify right side
    2,078.32x = 3,289,160.04
  5. Step 5: Solve for x
    x = 3,289,160.04/2,078.32
  6. Step 6: Final answer
    x = 1,582.61

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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.