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Finding the Fourth Proportional to 1,375.66, 2,061.06 and 912.34

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Solution

The fourth proportional to 1,375.66, 2,061.06 and 912.34 is: 1,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.66 : 2,061.06 = 912.34 : x
  2. Step 2: Convert to fraction form
    1,375.66/2,061.06 = 912.34/x
  3. Step 3: Cross multiply
    1,375.66x = 2,061.06 × 912.34
  4. Step 4: Simplify right side
    1,375.66x = 1,880,387.48
  5. Step 5: Solve for x
    x = 1,880,387.48/1,375.66
  6. Step 6: Final answer
    x = 1,366.90

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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.