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Finding the Fourth Proportional to 2,622.16, 3,932.02 and 977.52

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Solution

The fourth proportional to 2,622.16, 3,932.02 and 977.52 is: 1,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.16 : 3,932.02 = 977.52 : x
  2. Step 2: Convert to fraction form
    2,622.16/3,932.02 = 977.52/x
  3. Step 3: Cross multiply
    2,622.16x = 3,932.02 × 977.52
  4. Step 4: Simplify right side
    2,622.16x = 3,843,629.41
  5. Step 5: Solve for x
    x = 3,843,629.41/2,622.16
  6. Step 6: Final answer
    x = 1,465.83

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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.