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Finding the Fourth Proportional to 3,340.70, 5,011.59 and 1,491.77

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Solution

The fourth proportional to 3,340.70, 5,011.59 and 1,491.77 is: 2,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.70 : 5,011.59 = 1,491.77 : x
  2. Step 2: Convert to fraction form
    3,340.70/5,011.59 = 1,491.77/x
  3. Step 3: Cross multiply
    3,340.70x = 5,011.59 × 1,491.77
  4. Step 4: Simplify right side
    3,340.70x = 7,476,139.61
  5. Step 5: Solve for x
    x = 7,476,139.61/3,340.70
  6. Step 6: Final answer
    x = 2,237.90

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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.