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Finding the Fourth Proportional to 1,566.96, 2,339 and 1,452.75

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Solution

The fourth proportional to 1,566.96, 2,339 and 1,452.75 is: 2,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.96 : 2,339 = 1,452.75 : x
  2. Step 2: Convert to fraction form
    1,566.96/2,339 = 1,452.75/x
  3. Step 3: Cross multiply
    1,566.96x = 2,339 × 1,452.75
  4. Step 4: Simplify right side
    1,566.96x = 3,397,982.25
  5. Step 5: Solve for x
    x = 3,397,982.25/1,566.96
  6. Step 6: Final answer
    x = 2,168.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.