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Finding the Fourth Proportional to 2,358.25, 3,254.78 and 1,364.13

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Solution

The fourth proportional to 2,358.25, 3,254.78 and 1,364.13 is: 1,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.25 : 3,254.78 = 1,364.13 : x
  2. Step 2: Convert to fraction form
    2,358.25/3,254.78 = 1,364.13/x
  3. Step 3: Cross multiply
    2,358.25x = 3,254.78 × 1,364.13
  4. Step 4: Simplify right side
    2,358.25x = 4,439,946.45
  5. Step 5: Solve for x
    x = 4,439,946.45/2,358.25
  6. Step 6: Final answer
    x = 1,882.73

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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.