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Finding the Fourth Proportional to 2,271.81, 3,407.49 and 955.20

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Solution

The fourth proportional to 2,271.81, 3,407.49 and 955.20 is: 1,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.81 : 3,407.49 = 955.20 : x
  2. Step 2: Convert to fraction form
    2,271.81/3,407.49 = 955.20/x
  3. Step 3: Cross multiply
    2,271.81x = 3,407.49 × 955.20
  4. Step 4: Simplify right side
    2,271.81x = 3,254,834.45
  5. Step 5: Solve for x
    x = 3,254,834.45/2,271.81
  6. Step 6: Final answer
    x = 1,432.71

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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.