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Finding the Fourth Proportional to 2,263.97, 3,124.28 and 1,269.50

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Solution

The fourth proportional to 2,263.97, 3,124.28 and 1,269.50 is: 1,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.97 : 3,124.28 = 1,269.50 : x
  2. Step 2: Convert to fraction form
    2,263.97/3,124.28 = 1,269.50/x
  3. Step 3: Cross multiply
    2,263.97x = 3,124.28 × 1,269.50
  4. Step 4: Simplify right side
    2,263.97x = 3,966,261.01
  5. Step 5: Solve for x
    x = 3,966,261.01/2,263.97
  6. Step 6: Final answer
    x = 1,751.90

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