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Finding the Fourth Proportional to 2,047.14, 2,825.07 and 1,115.64

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Solution

The fourth proportional to 2,047.14, 2,825.07 and 1,115.64 is: 1,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.14 : 2,825.07 = 1,115.64 : x
  2. Step 2: Convert to fraction form
    2,047.14/2,825.07 = 1,115.64/x
  3. Step 3: Cross multiply
    2,047.14x = 2,825.07 × 1,115.64
  4. Step 4: Simplify right side
    2,047.14x = 3,151,761.09
  5. Step 5: Solve for x
    x = 3,151,761.09/2,047.14
  6. Step 6: Final answer
    x = 1,539.59

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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.