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Finding the Fourth Proportional to 2,119.13, 3,178.69 and 580.13

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Solution

The fourth proportional to 2,119.13, 3,178.69 and 580.13 is: 870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.13 : 3,178.69 = 580.13 : x
  2. Step 2: Convert to fraction form
    2,119.13/3,178.69 = 580.13/x
  3. Step 3: Cross multiply
    2,119.13x = 3,178.69 × 580.13
  4. Step 4: Simplify right side
    2,119.13x = 1,844,036.09
  5. Step 5: Solve for x
    x = 1,844,036.09/2,119.13
  6. Step 6: Final answer
    x = 870.19

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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.