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Finding the Fourth Proportional to 3,097.24, 4,646.22 and 1,248.28

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Solution

The fourth proportional to 3,097.24, 4,646.22 and 1,248.28 is: 1,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.24 : 4,646.22 = 1,248.28 : x
  2. Step 2: Convert to fraction form
    3,097.24/4,646.22 = 1,248.28/x
  3. Step 3: Cross multiply
    3,097.24x = 4,646.22 × 1,248.28
  4. Step 4: Simplify right side
    3,097.24x = 5,799,783.50
  5. Step 5: Solve for x
    x = 5,799,783.50/3,097.24
  6. Step 6: Final answer
    x = 1,872.57

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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.