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Finding the Fourth Proportional to 3,097.59, 4,639.95 and 2,264.10

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Solution

The fourth proportional to 3,097.59, 4,639.95 and 2,264.10 is: 3,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.59 : 4,639.95 = 2,264.10 : x
  2. Step 2: Convert to fraction form
    3,097.59/4,639.95 = 2,264.10/x
  3. Step 3: Cross multiply
    3,097.59x = 4,639.95 × 2,264.10
  4. Step 4: Simplify right side
    3,097.59x = 10,505,310.80
  5. Step 5: Solve for x
    x = 10,505,310.80/3,097.59
  6. Step 6: Final answer
    x = 3,391.45

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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.