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Finding the Fourth Proportional to 2,352.89, 3,523.17 and 1,655.78

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Solution

The fourth proportional to 2,352.89, 3,523.17 and 1,655.78 is: 2,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.89 : 3,523.17 = 1,655.78 : x
  2. Step 2: Convert to fraction form
    2,352.89/3,523.17 = 1,655.78/x
  3. Step 3: Cross multiply
    2,352.89x = 3,523.17 × 1,655.78
  4. Step 4: Simplify right side
    2,352.89x = 5,833,576.81
  5. Step 5: Solve for x
    x = 5,833,576.81/2,352.89
  6. Step 6: Final answer
    x = 2,479.33

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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.