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Finding the Fourth Proportional to 2,263.79, 3,124.19 and 1,269.05

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Solution

The fourth proportional to 2,263.79, 3,124.19 and 1,269.05 is: 1,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.79 : 3,124.19 = 1,269.05 : x
  2. Step 2: Convert to fraction form
    2,263.79/3,124.19 = 1,269.05/x
  3. Step 3: Cross multiply
    2,263.79x = 3,124.19 × 1,269.05
  4. Step 4: Simplify right side
    2,263.79x = 3,964,746.97
  5. Step 5: Solve for x
    x = 3,964,746.97/2,263.79
  6. Step 6: Final answer
    x = 1,751.38

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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.