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Finding the Fourth Proportional to 2,034.70, 2,807.84 and 1,195.25

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Solution

The fourth proportional to 2,034.70, 2,807.84 and 1,195.25 is: 1,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.70 : 2,807.84 = 1,195.25 : x
  2. Step 2: Convert to fraction form
    2,034.70/2,807.84 = 1,195.25/x
  3. Step 3: Cross multiply
    2,034.70x = 2,807.84 × 1,195.25
  4. Step 4: Simplify right side
    2,034.70x = 3,356,059.71
  5. Step 5: Solve for x
    x = 3,356,059.71/2,034.70
  6. Step 6: Final answer
    x = 1,649.41

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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.