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Finding the Fourth Proportional to 2,509.85, 3,765 and 660.94

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Solution

The fourth proportional to 2,509.85, 3,765 and 660.94 is: 991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.85 : 3,765 = 660.94 : x
  2. Step 2: Convert to fraction form
    2,509.85/3,765 = 660.94/x
  3. Step 3: Cross multiply
    2,509.85x = 3,765 × 660.94
  4. Step 4: Simplify right side
    2,509.85x = 2,488,439.10
  5. Step 5: Solve for x
    x = 2,488,439.10/2,509.85
  6. Step 6: Final answer
    x = 991.47

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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.