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Finding the Fourth Proportional to 2,393.46, 3,590.19 and 2,218.50

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Solution

The fourth proportional to 2,393.46, 3,590.19 and 2,218.50 is: 3,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.46 : 3,590.19 = 2,218.50 : x
  2. Step 2: Convert to fraction form
    2,393.46/3,590.19 = 2,218.50/x
  3. Step 3: Cross multiply
    2,393.46x = 3,590.19 × 2,218.50
  4. Step 4: Simplify right side
    2,393.46x = 7,964,836.52
  5. Step 5: Solve for x
    x = 7,964,836.52/2,393.46
  6. Step 6: Final answer
    x = 3,327.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.