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Finding the Fourth Proportional to 2,230.81, 3,079.01 and 1,857.20

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Solution

The fourth proportional to 2,230.81, 3,079.01 and 1,857.20 is: 2,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.81 : 3,079.01 = 1,857.20 : x
  2. Step 2: Convert to fraction form
    2,230.81/3,079.01 = 1,857.20/x
  3. Step 3: Cross multiply
    2,230.81x = 3,079.01 × 1,857.20
  4. Step 4: Simplify right side
    2,230.81x = 5,718,326.62
  5. Step 5: Solve for x
    x = 5,718,326.62/2,230.81
  6. Step 6: Final answer
    x = 2,563.34

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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.