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Finding the Fourth Proportional to 1,647.59, 2,273.57 and 901.40

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Solution

The fourth proportional to 1,647.59, 2,273.57 and 901.40 is: 1,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.59 : 2,273.57 = 901.40 : x
  2. Step 2: Convert to fraction form
    1,647.59/2,273.57 = 901.40/x
  3. Step 3: Cross multiply
    1,647.59x = 2,273.57 × 901.40
  4. Step 4: Simplify right side
    1,647.59x = 2,049,380.12
  5. Step 5: Solve for x
    x = 2,049,380.12/1,647.59
  6. Step 6: Final answer
    x = 1,243.87

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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.