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Finding the Fourth Proportional to 2,838.57, 4,259.70 and 1,195.13

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Solution

The fourth proportional to 2,838.57, 4,259.70 and 1,195.13 is: 1,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.57 : 4,259.70 = 1,195.13 : x
  2. Step 2: Convert to fraction form
    2,838.57/4,259.70 = 1,195.13/x
  3. Step 3: Cross multiply
    2,838.57x = 4,259.70 × 1,195.13
  4. Step 4: Simplify right side
    2,838.57x = 5,090,901.53
  5. Step 5: Solve for x
    x = 5,090,901.53/2,838.57
  6. Step 6: Final answer
    x = 1,793.47

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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.