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Finding the Fourth Proportional to 1,382.47, 1,902.08 and 1,048.95

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Solution

The fourth proportional to 1,382.47, 1,902.08 and 1,048.95 is: 1,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.47 : 1,902.08 = 1,048.95 : x
  2. Step 2: Convert to fraction form
    1,382.47/1,902.08 = 1,048.95/x
  3. Step 3: Cross multiply
    1,382.47x = 1,902.08 × 1,048.95
  4. Step 4: Simplify right side
    1,382.47x = 1,995,189.44
  5. Step 5: Solve for x
    x = 1,995,189.44/1,382.47
  6. Step 6: Final answer
    x = 1,443.21

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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.