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Finding the Fourth Proportional to 2,627.67, 3,940.68 and 1,530.93

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Solution

The fourth proportional to 2,627.67, 3,940.68 and 1,530.93 is: 2,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.67 : 3,940.68 = 1,530.93 : x
  2. Step 2: Convert to fraction form
    2,627.67/3,940.68 = 1,530.93/x
  3. Step 3: Cross multiply
    2,627.67x = 3,940.68 × 1,530.93
  4. Step 4: Simplify right side
    2,627.67x = 6,032,905.23
  5. Step 5: Solve for x
    x = 6,032,905.23/2,627.67
  6. Step 6: Final answer
    x = 2,295.91

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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.