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Finding the Fourth Proportional to 2,281.34, 3,422.08 and 895.03

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Solution

The fourth proportional to 2,281.34, 3,422.08 and 895.03 is: 1,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.34 : 3,422.08 = 895.03 : x
  2. Step 2: Convert to fraction form
    2,281.34/3,422.08 = 895.03/x
  3. Step 3: Cross multiply
    2,281.34x = 3,422.08 × 895.03
  4. Step 4: Simplify right side
    2,281.34x = 3,062,856.83
  5. Step 5: Solve for x
    x = 3,062,856.83/2,281.34
  6. Step 6: Final answer
    x = 1,342.57

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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.