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Finding the Fourth Proportional to 2,530.45, 3,795.33 and 681.71

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Solution

The fourth proportional to 2,530.45, 3,795.33 and 681.71 is: 1,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.45 : 3,795.33 = 681.71 : x
  2. Step 2: Convert to fraction form
    2,530.45/3,795.33 = 681.71/x
  3. Step 3: Cross multiply
    2,530.45x = 3,795.33 × 681.71
  4. Step 4: Simplify right side
    2,530.45x = 2,587,314.41
  5. Step 5: Solve for x
    x = 2,587,314.41/2,530.45
  6. Step 6: Final answer
    x = 1,022.47

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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.