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Finding the Fourth Proportional to 3,045.53, 4,568.97 and 966.17

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Solution

The fourth proportional to 3,045.53, 4,568.97 and 966.17 is: 1,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.53 : 4,568.97 = 966.17 : x
  2. Step 2: Convert to fraction form
    3,045.53/4,568.97 = 966.17/x
  3. Step 3: Cross multiply
    3,045.53x = 4,568.97 × 966.17
  4. Step 4: Simplify right side
    3,045.53x = 4,414,401.74
  5. Step 5: Solve for x
    x = 4,414,401.74/3,045.53
  6. Step 6: Final answer
    x = 1,449.47

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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.