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Finding the Fourth Proportional to 2,242.29, 3,348.20 and 1,774.82

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Solution

The fourth proportional to 2,242.29, 3,348.20 and 1,774.82 is: 2,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.29 : 3,348.20 = 1,774.82 : x
  2. Step 2: Convert to fraction form
    2,242.29/3,348.20 = 1,774.82/x
  3. Step 3: Cross multiply
    2,242.29x = 3,348.20 × 1,774.82
  4. Step 4: Simplify right side
    2,242.29x = 5,942,426.71
  5. Step 5: Solve for x
    x = 5,942,426.71/2,242.29
  6. Step 6: Final answer
    x = 2,650.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.