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Finding the Fourth Proportional to 3,280.47, 4,527.17 and 1,954.00

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Solution

The fourth proportional to 3,280.47, 4,527.17 and 1,954.00 is: 2,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.47 : 4,527.17 = 1,954.00 : x
  2. Step 2: Convert to fraction form
    3,280.47/4,527.17 = 1,954.00/x
  3. Step 3: Cross multiply
    3,280.47x = 4,527.17 × 1,954.00
  4. Step 4: Simplify right side
    3,280.47x = 8,846,069.09
  5. Step 5: Solve for x
    x = 8,846,069.09/3,280.47
  6. Step 6: Final answer
    x = 2,696.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.