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Finding the Fourth Proportional to 1,230.01, 1,849.07 and 1,139.83

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Solution

The fourth proportional to 1,230.01, 1,849.07 and 1,139.83 is: 1,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.01 : 1,849.07 = 1,139.83 : x
  2. Step 2: Convert to fraction form
    1,230.01/1,849.07 = 1,139.83/x
  3. Step 3: Cross multiply
    1,230.01x = 1,849.07 × 1,139.83
  4. Step 4: Simplify right side
    1,230.01x = 2,107,625.46
  5. Step 5: Solve for x
    x = 2,107,625.46/1,230.01
  6. Step 6: Final answer
    x = 1,713.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.