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Finding the Fourth Proportional to 1,582.14, 2,182.49 and 952.29

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Solution

The fourth proportional to 1,582.14, 2,182.49 and 952.29 is: 1,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.14 : 2,182.49 = 952.29 : x
  2. Step 2: Convert to fraction form
    1,582.14/2,182.49 = 952.29/x
  3. Step 3: Cross multiply
    1,582.14x = 2,182.49 × 952.29
  4. Step 4: Simplify right side
    1,582.14x = 2,078,367.57
  5. Step 5: Solve for x
    x = 2,078,367.57/1,582.14
  6. Step 6: Final answer
    x = 1,313.64

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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.