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Finding the Fourth Proportional to 2,265.22, 3,124.02 and 1,468.60

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Solution

The fourth proportional to 2,265.22, 3,124.02 and 1,468.60 is: 2,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.22 : 3,124.02 = 1,468.60 : x
  2. Step 2: Convert to fraction form
    2,265.22/3,124.02 = 1,468.60/x
  3. Step 3: Cross multiply
    2,265.22x = 3,124.02 × 1,468.60
  4. Step 4: Simplify right side
    2,265.22x = 4,587,935.77
  5. Step 5: Solve for x
    x = 4,587,935.77/2,265.22
  6. Step 6: Final answer
    x = 2,025.38

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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.