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Finding the Fourth Proportional to 1,411.16, 1,947.24 and 912.87

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Solution

The fourth proportional to 1,411.16, 1,947.24 and 912.87 is: 1,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.16 : 1,947.24 = 912.87 : x
  2. Step 2: Convert to fraction form
    1,411.16/1,947.24 = 912.87/x
  3. Step 3: Cross multiply
    1,411.16x = 1,947.24 × 912.87
  4. Step 4: Simplify right side
    1,411.16x = 1,777,576.98
  5. Step 5: Solve for x
    x = 1,777,576.98/1,411.16
  6. Step 6: Final answer
    x = 1,259.66

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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.