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Finding the Fourth Proportional to 1,841.78, 2,762.73 and 731.40

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Solution

The fourth proportional to 1,841.78, 2,762.73 and 731.40 is: 1,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.78 : 2,762.73 = 731.40 : x
  2. Step 2: Convert to fraction form
    1,841.78/2,762.73 = 731.40/x
  3. Step 3: Cross multiply
    1,841.78x = 2,762.73 × 731.40
  4. Step 4: Simplify right side
    1,841.78x = 2,020,660.72
  5. Step 5: Solve for x
    x = 2,020,660.72/1,841.78
  6. Step 6: Final answer
    x = 1,097.13

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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.