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Finding the Fourth Proportional to 3,242, 4,863.48 and 1,509.68

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Solution

The fourth proportional to 3,242, 4,863.48 and 1,509.68 is: 2,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242 : 4,863.48 = 1,509.68 : x
  2. Step 2: Convert to fraction form
    3,242/4,863.48 = 1,509.68/x
  3. Step 3: Cross multiply
    3,242x = 4,863.48 × 1,509.68
  4. Step 4: Simplify right side
    3,242x = 7,342,298.49
  5. Step 5: Solve for x
    x = 7,342,298.49/3,242
  6. Step 6: Final answer
    x = 2,264.74

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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.