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Finding the Fourth Proportional to 2,283.42, 3,423.81 and 895.14

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Solution

The fourth proportional to 2,283.42, 3,423.81 and 895.14 is: 1,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.42 : 3,423.81 = 895.14 : x
  2. Step 2: Convert to fraction form
    2,283.42/3,423.81 = 895.14/x
  3. Step 3: Cross multiply
    2,283.42x = 3,423.81 × 895.14
  4. Step 4: Simplify right side
    2,283.42x = 3,064,789.28
  5. Step 5: Solve for x
    x = 3,064,789.28/2,283.42
  6. Step 6: Final answer
    x = 1,342.19

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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.