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Finding the Fourth Proportional to 2,039.41, 3,059.12 and 652.76

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Solution

The fourth proportional to 2,039.41, 3,059.12 and 652.76 is: 979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.41 : 3,059.12 = 652.76 : x
  2. Step 2: Convert to fraction form
    2,039.41/3,059.12 = 652.76/x
  3. Step 3: Cross multiply
    2,039.41x = 3,059.12 × 652.76
  4. Step 4: Simplify right side
    2,039.41x = 1,996,871.17
  5. Step 5: Solve for x
    x = 1,996,871.17/2,039.41
  6. Step 6: Final answer
    x = 979.14

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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.