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Finding the Fourth Proportional to 1,295.26, 1,934.06 and 1,222.17

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Solution

The fourth proportional to 1,295.26, 1,934.06 and 1,222.17 is: 1,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.26 : 1,934.06 = 1,222.17 : x
  2. Step 2: Convert to fraction form
    1,295.26/1,934.06 = 1,222.17/x
  3. Step 3: Cross multiply
    1,295.26x = 1,934.06 × 1,222.17
  4. Step 4: Simplify right side
    1,295.26x = 2,363,750.11
  5. Step 5: Solve for x
    x = 2,363,750.11/1,295.26
  6. Step 6: Final answer
    x = 1,824.92

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