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Finding the Fourth Proportional to 2,599.98, 3,582.27 and 2,268.78

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Solution

The fourth proportional to 2,599.98, 3,582.27 and 2,268.78 is: 3,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.98 : 3,582.27 = 2,268.78 : x
  2. Step 2: Convert to fraction form
    2,599.98/3,582.27 = 2,268.78/x
  3. Step 3: Cross multiply
    2,599.98x = 3,582.27 × 2,268.78
  4. Step 4: Simplify right side
    2,599.98x = 8,127,382.53
  5. Step 5: Solve for x
    x = 8,127,382.53/2,599.98
  6. Step 6: Final answer
    x = 3,125.94

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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.