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Finding the Fourth Proportional to 2,373.36, 3,560.10 and 834.36

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Solution

The fourth proportional to 2,373.36, 3,560.10 and 834.36 is: 1,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.36 : 3,560.10 = 834.36 : x
  2. Step 2: Convert to fraction form
    2,373.36/3,560.10 = 834.36/x
  3. Step 3: Cross multiply
    2,373.36x = 3,560.10 × 834.36
  4. Step 4: Simplify right side
    2,373.36x = 2,970,405.04
  5. Step 5: Solve for x
    x = 2,970,405.04/2,373.36
  6. Step 6: Final answer
    x = 1,251.56

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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.