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Finding the Fourth Proportional to 1,843.84, 2,545.68 and 1,146.16

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Solution

The fourth proportional to 1,843.84, 2,545.68 and 1,146.16 is: 1,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.84 : 2,545.68 = 1,146.16 : x
  2. Step 2: Convert to fraction form
    1,843.84/2,545.68 = 1,146.16/x
  3. Step 3: Cross multiply
    1,843.84x = 2,545.68 × 1,146.16
  4. Step 4: Simplify right side
    1,843.84x = 2,917,756.59
  5. Step 5: Solve for x
    x = 2,917,756.59/1,843.84
  6. Step 6: Final answer
    x = 1,582.43

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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.