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Finding the Fourth Proportional to 2,267.06, 3,129.04 and 1,382.68

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Solution

The fourth proportional to 2,267.06, 3,129.04 and 1,382.68 is: 1,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.06 : 3,129.04 = 1,382.68 : x
  2. Step 2: Convert to fraction form
    2,267.06/3,129.04 = 1,382.68/x
  3. Step 3: Cross multiply
    2,267.06x = 3,129.04 × 1,382.68
  4. Step 4: Simplify right side
    2,267.06x = 4,326,461.03
  5. Step 5: Solve for x
    x = 4,326,461.03/2,267.06
  6. Step 6: Final answer
    x = 1,908.40

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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.