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Finding the Fourth Proportional to 1,382.47, 1,908.16 and 885.53

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Solution

The fourth proportional to 1,382.47, 1,908.16 and 885.53 is: 1,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.47 : 1,908.16 = 885.53 : x
  2. Step 2: Convert to fraction form
    1,382.47/1,908.16 = 885.53/x
  3. Step 3: Cross multiply
    1,382.47x = 1,908.16 × 885.53
  4. Step 4: Simplify right side
    1,382.47x = 1,689,735.48
  5. Step 5: Solve for x
    x = 1,689,735.48/1,382.47
  6. Step 6: Final answer
    x = 1,222.26

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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.