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Finding the Fourth Proportional to 2,326.94, 3,211.10 and 1,264.65

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Solution

The fourth proportional to 2,326.94, 3,211.10 and 1,264.65 is: 1,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.94 : 3,211.10 = 1,264.65 : x
  2. Step 2: Convert to fraction form
    2,326.94/3,211.10 = 1,264.65/x
  3. Step 3: Cross multiply
    2,326.94x = 3,211.10 × 1,264.65
  4. Step 4: Simplify right side
    2,326.94x = 4,060,911.29
  5. Step 5: Solve for x
    x = 4,060,911.29/2,326.94
  6. Step 6: Final answer
    x = 1,745.18

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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.