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Finding the Fourth Proportional to 2,510.45, 3,765.71 and 661.58

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Solution

The fourth proportional to 2,510.45, 3,765.71 and 661.58 is: 992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.45 : 3,765.71 = 661.58 : x
  2. Step 2: Convert to fraction form
    2,510.45/3,765.71 = 661.58/x
  3. Step 3: Cross multiply
    2,510.45x = 3,765.71 × 661.58
  4. Step 4: Simplify right side
    2,510.45x = 2,491,336.55
  5. Step 5: Solve for x
    x = 2,491,336.55/2,510.45
  6. Step 6: Final answer
    x = 992.38

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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.