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Finding the Fourth Proportional to 2,648.94, 3,642.57 and 2,299.02

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Solution

The fourth proportional to 2,648.94, 3,642.57 and 2,299.02 is: 3,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.94 : 3,642.57 = 2,299.02 : x
  2. Step 2: Convert to fraction form
    2,648.94/3,642.57 = 2,299.02/x
  3. Step 3: Cross multiply
    2,648.94x = 3,642.57 × 2,299.02
  4. Step 4: Simplify right side
    2,648.94x = 8,374,341.28
  5. Step 5: Solve for x
    x = 8,374,341.28/2,648.94
  6. Step 6: Final answer
    x = 3,161.39

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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.