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Finding the Fourth Proportional to 1,519.57, 2,097.48 and 952.71

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Solution

The fourth proportional to 1,519.57, 2,097.48 and 952.71 is: 1,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.57 : 2,097.48 = 952.71 : x
  2. Step 2: Convert to fraction form
    1,519.57/2,097.48 = 952.71/x
  3. Step 3: Cross multiply
    1,519.57x = 2,097.48 × 952.71
  4. Step 4: Simplify right side
    1,519.57x = 1,998,290.17
  5. Step 5: Solve for x
    x = 1,998,290.17/1,519.57
  6. Step 6: Final answer
    x = 1,315.04

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1.5x scale

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.