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Finding the Fourth Proportional to 2,326.27, 3,210.24 and 1,264.05

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Solution

The fourth proportional to 2,326.27, 3,210.24 and 1,264.05 is: 1,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.27 : 3,210.24 = 1,264.05 : x
  2. Step 2: Convert to fraction form
    2,326.27/3,210.24 = 1,264.05/x
  3. Step 3: Cross multiply
    2,326.27x = 3,210.24 × 1,264.05
  4. Step 4: Simplify right side
    2,326.27x = 4,057,899.01
  5. Step 5: Solve for x
    x = 4,057,899.01/2,326.27
  6. Step 6: Final answer
    x = 1,744.38

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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.