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Finding the Fourth Proportional to 2,732.88, 4,098.32 and 977.41

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Solution

The fourth proportional to 2,732.88, 4,098.32 and 977.41 is: 1,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.88 : 4,098.32 = 977.41 : x
  2. Step 2: Convert to fraction form
    2,732.88/4,098.32 = 977.41/x
  3. Step 3: Cross multiply
    2,732.88x = 4,098.32 × 977.41
  4. Step 4: Simplify right side
    2,732.88x = 4,005,742.85
  5. Step 5: Solve for x
    x = 4,005,742.85/2,732.88
  6. Step 6: Final answer
    x = 1,465.76

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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.