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Finding the Fourth Proportional to 1,382.84, 1,909.17 and 952.40

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Solution

The fourth proportional to 1,382.84, 1,909.17 and 952.40 is: 1,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.84 : 1,909.17 = 952.40 : x
  2. Step 2: Convert to fraction form
    1,382.84/1,909.17 = 952.40/x
  3. Step 3: Cross multiply
    1,382.84x = 1,909.17 × 952.40
  4. Step 4: Simplify right side
    1,382.84x = 1,818,293.51
  5. Step 5: Solve for x
    x = 1,818,293.51/1,382.84
  6. Step 6: Final answer
    x = 1,314.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.