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Finding the Fourth Proportional to 2,869.85, 4,304.42 and 895.62

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Solution

The fourth proportional to 2,869.85, 4,304.42 and 895.62 is: 1,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.85 : 4,304.42 = 895.62 : x
  2. Step 2: Convert to fraction form
    2,869.85/4,304.42 = 895.62/x
  3. Step 3: Cross multiply
    2,869.85x = 4,304.42 × 895.62
  4. Step 4: Simplify right side
    2,869.85x = 3,855,120.16
  5. Step 5: Solve for x
    x = 3,855,120.16/2,869.85
  6. Step 6: Final answer
    x = 1,343.32

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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.