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Finding the Fourth Proportional to 1,411.69, 1,947.22 and 886.81

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Solution

The fourth proportional to 1,411.69, 1,947.22 and 886.81 is: 1,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.69 : 1,947.22 = 886.81 : x
  2. Step 2: Convert to fraction form
    1,411.69/1,947.22 = 886.81/x
  3. Step 3: Cross multiply
    1,411.69x = 1,947.22 × 886.81
  4. Step 4: Simplify right side
    1,411.69x = 1,726,814.17
  5. Step 5: Solve for x
    x = 1,726,814.17/1,411.69
  6. Step 6: Final answer
    x = 1,223.22

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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.