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Finding the Fourth Proportional to 4,342.59, 6,514.85 and 1,340.64

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Solution

The fourth proportional to 4,342.59, 6,514.85 and 1,340.64 is: 2,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.59 : 6,514.85 = 1,340.64 : x
  2. Step 2: Convert to fraction form
    4,342.59/6,514.85 = 1,340.64/x
  3. Step 3: Cross multiply
    4,342.59x = 6,514.85 × 1,340.64
  4. Step 4: Simplify right side
    4,342.59x = 8,734,071.86
  5. Step 5: Solve for x
    x = 8,734,071.86/4,342.59
  6. Step 6: Final answer
    x = 2,011.26

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