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Finding the Fourth Proportional to 2,651.52, 3,655.62 and 2,282.46

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Solution

The fourth proportional to 2,651.52, 3,655.62 and 2,282.46 is: 3,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.52 : 3,655.62 = 2,282.46 : x
  2. Step 2: Convert to fraction form
    2,651.52/3,655.62 = 2,282.46/x
  3. Step 3: Cross multiply
    2,651.52x = 3,655.62 × 2,282.46
  4. Step 4: Simplify right side
    2,651.52x = 8,343,806.43
  5. Step 5: Solve for x
    x = 8,343,806.43/2,651.52
  6. Step 6: Final answer
    x = 3,146.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.