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Finding the Fourth Proportional to 1,838.25, 2,759.40 and 974.39

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Solution

The fourth proportional to 1,838.25, 2,759.40 and 974.39 is: 1,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.25 : 2,759.40 = 974.39 : x
  2. Step 2: Convert to fraction form
    1,838.25/2,759.40 = 974.39/x
  3. Step 3: Cross multiply
    1,838.25x = 2,759.40 × 974.39
  4. Step 4: Simplify right side
    1,838.25x = 2,688,717.97
  5. Step 5: Solve for x
    x = 2,688,717.97/1,838.25
  6. Step 6: Final answer
    x = 1,462.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.