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Finding the Fourth Proportional to 2,339.34, 3,230.19 and 1,594.86

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Solution

The fourth proportional to 2,339.34, 3,230.19 and 1,594.86 is: 2,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.34 : 3,230.19 = 1,594.86 : x
  2. Step 2: Convert to fraction form
    2,339.34/3,230.19 = 1,594.86/x
  3. Step 3: Cross multiply
    2,339.34x = 3,230.19 × 1,594.86
  4. Step 4: Simplify right side
    2,339.34x = 5,151,700.82
  5. Step 5: Solve for x
    x = 5,151,700.82/2,339.34
  6. Step 6: Final answer
    x = 2,202.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.