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Finding the Fourth Proportional to 2,899.66, 4,328.49 and 2,549.35

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Solution

The fourth proportional to 2,899.66, 4,328.49 and 2,549.35 is: 3,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.66 : 4,328.49 = 2,549.35 : x
  2. Step 2: Convert to fraction form
    2,899.66/4,328.49 = 2,549.35/x
  3. Step 3: Cross multiply
    2,899.66x = 4,328.49 × 2,549.35
  4. Step 4: Simplify right side
    2,899.66x = 11,034,801.59
  5. Step 5: Solve for x
    x = 11,034,801.59/2,899.66
  6. Step 6: Final answer
    x = 3,805.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.