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Finding the Fourth Proportional to 1,473.95, 2,207.97 and 952.13

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Solution

The fourth proportional to 1,473.95, 2,207.97 and 952.13 is: 1,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.95 : 2,207.97 = 952.13 : x
  2. Step 2: Convert to fraction form
    1,473.95/2,207.97 = 952.13/x
  3. Step 3: Cross multiply
    1,473.95x = 2,207.97 × 952.13
  4. Step 4: Simplify right side
    1,473.95x = 2,102,263.44
  5. Step 5: Solve for x
    x = 2,102,263.44/1,473.95
  6. Step 6: Final answer
    x = 1,426.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.