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Finding the Fourth Proportional to 4,105.68, 6,158.56 and 1,184

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Solution

The fourth proportional to 4,105.68, 6,158.56 and 1,184 is: 1,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.68 : 6,158.56 = 1,184 : x
  2. Step 2: Convert to fraction form
    4,105.68/6,158.56 = 1,184/x
  3. Step 3: Cross multiply
    4,105.68x = 6,158.56 × 1,184
  4. Step 4: Simplify right side
    4,105.68x = 7,291,735.04
  5. Step 5: Solve for x
    x = 7,291,735.04/4,105.68
  6. Step 6: Final answer
    x = 1,776.01

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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.