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Finding the Fourth Proportional to 1,713.13, 2,363.99 and 967.16

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Solution

The fourth proportional to 1,713.13, 2,363.99 and 967.16 is: 1,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.13 : 2,363.99 = 967.16 : x
  2. Step 2: Convert to fraction form
    1,713.13/2,363.99 = 967.16/x
  3. Step 3: Cross multiply
    1,713.13x = 2,363.99 × 967.16
  4. Step 4: Simplify right side
    1,713.13x = 2,286,351.73
  5. Step 5: Solve for x
    x = 2,286,351.73/1,713.13
  6. Step 6: Final answer
    x = 1,334.61

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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.