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Finding the Fourth Proportional to 3,097.49, 4,647.10 and 1,248.18

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Solution

The fourth proportional to 3,097.49, 4,647.10 and 1,248.18 is: 1,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.49 : 4,647.10 = 1,248.18 : x
  2. Step 2: Convert to fraction form
    3,097.49/4,647.10 = 1,248.18/x
  3. Step 3: Cross multiply
    3,097.49x = 4,647.10 × 1,248.18
  4. Step 4: Simplify right side
    3,097.49x = 5,800,417.28
  5. Step 5: Solve for x
    x = 5,800,417.28/3,097.49
  6. Step 6: Final answer
    x = 1,872.62

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1.5x scale

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.