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Finding the Fourth Proportional to 2,335.98, 3,507.42 and 1,560.78

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Solution

The fourth proportional to 2,335.98, 3,507.42 and 1,560.78 is: 2,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.98 : 3,507.42 = 1,560.78 : x
  2. Step 2: Convert to fraction form
    2,335.98/3,507.42 = 1,560.78/x
  3. Step 3: Cross multiply
    2,335.98x = 3,507.42 × 1,560.78
  4. Step 4: Simplify right side
    2,335.98x = 5,474,310.99
  5. Step 5: Solve for x
    x = 5,474,310.99/2,335.98
  6. Step 6: Final answer
    x = 2,343.48

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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.