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Finding the Fourth Proportional to 1,937.84, 2,887.52 and 1,843.70

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Solution

The fourth proportional to 1,937.84, 2,887.52 and 1,843.70 is: 2,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.84 : 2,887.52 = 1,843.70 : x
  2. Step 2: Convert to fraction form
    1,937.84/2,887.52 = 1,843.70/x
  3. Step 3: Cross multiply
    1,937.84x = 2,887.52 × 1,843.70
  4. Step 4: Simplify right side
    1,937.84x = 5,323,718.62
  5. Step 5: Solve for x
    x = 5,323,718.62/1,937.84
  6. Step 6: Final answer
    x = 2,747.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.