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Finding the Fourth Proportional to 2,264.90, 3,397.83 and 948.71

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Solution

The fourth proportional to 2,264.90, 3,397.83 and 948.71 is: 1,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.90 : 3,397.83 = 948.71 : x
  2. Step 2: Convert to fraction form
    2,264.90/3,397.83 = 948.71/x
  3. Step 3: Cross multiply
    2,264.90x = 3,397.83 × 948.71
  4. Step 4: Simplify right side
    2,264.90x = 3,223,538.31
  5. Step 5: Solve for x
    x = 3,223,538.31/2,264.90
  6. Step 6: Final answer
    x = 1,423.26

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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.