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Finding the Fourth Proportional to 2,039.15, 3,059.40 and 652.70

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Solution

The fourth proportional to 2,039.15, 3,059.40 and 652.70 is: 979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.15 : 3,059.40 = 652.70 : x
  2. Step 2: Convert to fraction form
    2,039.15/3,059.40 = 652.70/x
  3. Step 3: Cross multiply
    2,039.15x = 3,059.40 × 652.70
  4. Step 4: Simplify right side
    2,039.15x = 1,996,870.38
  5. Step 5: Solve for x
    x = 1,996,870.38/2,039.15
  6. Step 6: Final answer
    x = 979.27

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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.