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Finding the Fourth Proportional to 2,271.40, 3,407.10 and 1,576.60

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Solution

The fourth proportional to 2,271.40, 3,407.10 and 1,576.60 is: 2,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.40 : 3,407.10 = 1,576.60 : x
  2. Step 2: Convert to fraction form
    2,271.40/3,407.10 = 1,576.60/x
  3. Step 3: Cross multiply
    2,271.40x = 3,407.10 × 1,576.60
  4. Step 4: Simplify right side
    2,271.40x = 5,371,633.86
  5. Step 5: Solve for x
    x = 5,371,633.86/2,271.40
  6. Step 6: Final answer
    x = 2,364.90

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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.