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Finding the Fourth Proportional to 4,120.71, 6,182.12 and 1,199.01

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Solution

The fourth proportional to 4,120.71, 6,182.12 and 1,199.01 is: 1,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.71 : 6,182.12 = 1,199.01 : x
  2. Step 2: Convert to fraction form
    4,120.71/6,182.12 = 1,199.01/x
  3. Step 3: Cross multiply
    4,120.71x = 6,182.12 × 1,199.01
  4. Step 4: Simplify right side
    4,120.71x = 7,412,417.71
  5. Step 5: Solve for x
    x = 7,412,417.71/4,120.71
  6. Step 6: Final answer
    x = 1,798.82

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