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Finding the Fourth Proportional to 2,119.12, 3,178.68 and 887.12

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Solution

The fourth proportional to 2,119.12, 3,178.68 and 887.12 is: 1,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.12 : 3,178.68 = 887.12 : x
  2. Step 2: Convert to fraction form
    2,119.12/3,178.68 = 887.12/x
  3. Step 3: Cross multiply
    2,119.12x = 3,178.68 × 887.12
  4. Step 4: Simplify right side
    2,119.12x = 2,819,870.60
  5. Step 5: Solve for x
    x = 2,819,870.60/2,119.12
  6. Step 6: Final answer
    x = 1,330.68

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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.