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Finding the Fourth Proportional to 2,452.22, 3,678.02 and 1,452.16

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Solution

The fourth proportional to 2,452.22, 3,678.02 and 1,452.16 is: 2,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.22 : 3,678.02 = 1,452.16 : x
  2. Step 2: Convert to fraction form
    2,452.22/3,678.02 = 1,452.16/x
  3. Step 3: Cross multiply
    2,452.22x = 3,678.02 × 1,452.16
  4. Step 4: Simplify right side
    2,452.22x = 5,341,073.52
  5. Step 5: Solve for x
    x = 5,341,073.52/2,452.22
  6. Step 6: Final answer
    x = 2,178.06

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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.