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Finding the Fourth Proportional to 2,421.95, 3,631.79 and 960.10

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Solution

The fourth proportional to 2,421.95, 3,631.79 and 960.10 is: 1,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.95 : 3,631.79 = 960.10 : x
  2. Step 2: Convert to fraction form
    2,421.95/3,631.79 = 960.10/x
  3. Step 3: Cross multiply
    2,421.95x = 3,631.79 × 960.10
  4. Step 4: Simplify right side
    2,421.95x = 3,486,874.90
  5. Step 5: Solve for x
    x = 3,486,874.90/2,421.95
  6. Step 6: Final answer
    x = 1,439.70

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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.