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Finding the Fourth Proportional to 4,514.68, 6,768.56 and 2,141.56

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Solution

The fourth proportional to 4,514.68, 6,768.56 and 2,141.56 is: 3,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.68 : 6,768.56 = 2,141.56 : x
  2. Step 2: Convert to fraction form
    4,514.68/6,768.56 = 2,141.56/x
  3. Step 3: Cross multiply
    4,514.68x = 6,768.56 × 2,141.56
  4. Step 4: Simplify right side
    4,514.68x = 14,495,277.35
  5. Step 5: Solve for x
    x = 14,495,277.35/4,514.68
  6. Step 6: Final answer
    x = 3,210.70

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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.