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Finding the Fourth Proportional to 2,373.58, 3,560.40 and 834.22

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Solution

The fourth proportional to 2,373.58, 3,560.40 and 834.22 is: 1,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.58 : 3,560.40 = 834.22 : x
  2. Step 2: Convert to fraction form
    2,373.58/3,560.40 = 834.22/x
  3. Step 3: Cross multiply
    2,373.58x = 3,560.40 × 834.22
  4. Step 4: Simplify right side
    2,373.58x = 2,970,156.89
  5. Step 5: Solve for x
    x = 2,970,156.89/2,373.58
  6. Step 6: Final answer
    x = 1,251.34

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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.