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Finding the Fourth Proportional to 2,119.20, 3,178.32 and 580.32

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Solution

The fourth proportional to 2,119.20, 3,178.32 and 580.32 is: 870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.20 : 3,178.32 = 580.32 : x
  2. Step 2: Convert to fraction form
    2,119.20/3,178.32 = 580.32/x
  3. Step 3: Cross multiply
    2,119.20x = 3,178.32 × 580.32
  4. Step 4: Simplify right side
    2,119.20x = 1,844,442.66
  5. Step 5: Solve for x
    x = 1,844,442.66/2,119.20
  6. Step 6: Final answer
    x = 870.35

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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.