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Finding the Fourth Proportional to 2,265.57, 3,124.58 and 1,913.22

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Solution

The fourth proportional to 2,265.57, 3,124.58 and 1,913.22 is: 2,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.57 : 3,124.58 = 1,913.22 : x
  2. Step 2: Convert to fraction form
    2,265.57/3,124.58 = 1,913.22/x
  3. Step 3: Cross multiply
    2,265.57x = 3,124.58 × 1,913.22
  4. Step 4: Simplify right side
    2,265.57x = 5,977,999.38
  5. Step 5: Solve for x
    x = 5,977,999.38/2,265.57
  6. Step 6: Final answer
    x = 2,638.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.