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Finding the Fourth Proportional to 3,045.92, 4,568.48 and 966.12

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Solution

The fourth proportional to 3,045.92, 4,568.48 and 966.12 is: 1,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.92 : 4,568.48 = 966.12 : x
  2. Step 2: Convert to fraction form
    3,045.92/4,568.48 = 966.12/x
  3. Step 3: Cross multiply
    3,045.92x = 4,568.48 × 966.12
  4. Step 4: Simplify right side
    3,045.92x = 4,413,699.90
  5. Step 5: Solve for x
    x = 4,413,699.90/3,045.92
  6. Step 6: Final answer
    x = 1,449.05

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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.