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Finding the Fourth Proportional to 2,366.76, 3,265.47 and 1,371.84

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Solution

The fourth proportional to 2,366.76, 3,265.47 and 1,371.84 is: 1,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.76 : 3,265.47 = 1,371.84 : x
  2. Step 2: Convert to fraction form
    2,366.76/3,265.47 = 1,371.84/x
  3. Step 3: Cross multiply
    2,366.76x = 3,265.47 × 1,371.84
  4. Step 4: Simplify right side
    2,366.76x = 4,479,702.36
  5. Step 5: Solve for x
    x = 4,479,702.36/2,366.76
  6. Step 6: Final answer
    x = 1,892.76

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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.