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Finding the Fourth Proportional to 3,107.95, 4,662.15 and 886.76

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Solution

The fourth proportional to 3,107.95, 4,662.15 and 886.76 is: 1,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.95 : 4,662.15 = 886.76 : x
  2. Step 2: Convert to fraction form
    3,107.95/4,662.15 = 886.76/x
  3. Step 3: Cross multiply
    3,107.95x = 4,662.15 × 886.76
  4. Step 4: Simplify right side
    3,107.95x = 4,134,184.82
  5. Step 5: Solve for x
    x = 4,134,184.82/3,107.95
  6. Step 6: Final answer
    x = 1,330.20

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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.