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Finding the Fourth Proportional to 2,283.44, 3,424.01 and 895.73

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Solution

The fourth proportional to 2,283.44, 3,424.01 and 895.73 is: 1,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.44 : 3,424.01 = 895.73 : x
  2. Step 2: Convert to fraction form
    2,283.44/3,424.01 = 895.73/x
  3. Step 3: Cross multiply
    2,283.44x = 3,424.01 × 895.73
  4. Step 4: Simplify right side
    2,283.44x = 3,066,966.88
  5. Step 5: Solve for x
    x = 3,066,966.88/2,283.44
  6. Step 6: Final answer
    x = 1,343.14

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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.