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Finding the Fourth Proportional to 3,114.84, 4,673.46 and 1,382.28

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Solution

The fourth proportional to 3,114.84, 4,673.46 and 1,382.28 is: 2,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.84 : 4,673.46 = 1,382.28 : x
  2. Step 2: Convert to fraction form
    3,114.84/4,673.46 = 1,382.28/x
  3. Step 3: Cross multiply
    3,114.84x = 4,673.46 × 1,382.28
  4. Step 4: Simplify right side
    3,114.84x = 6,460,030.29
  5. Step 5: Solve for x
    x = 6,460,030.29/3,114.84
  6. Step 6: Final answer
    x = 2,073.95

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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.