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Finding the Fourth Proportional to 3,242.82, 4,865.64 and 2,518.68

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Solution

The fourth proportional to 3,242.82, 4,865.64 and 2,518.68 is: 3,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.82 : 4,865.64 = 2,518.68 : x
  2. Step 2: Convert to fraction form
    3,242.82/4,865.64 = 2,518.68/x
  3. Step 3: Cross multiply
    3,242.82x = 4,865.64 × 2,518.68
  4. Step 4: Simplify right side
    3,242.82x = 12,254,990.16
  5. Step 5: Solve for x
    x = 12,254,990.16/3,242.82
  6. Step 6: Final answer
    x = 3,779.12

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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.