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Finding the Fourth Proportional to 2,762.47, 4,143.70 and 1,944.40

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Solution

The fourth proportional to 2,762.47, 4,143.70 and 1,944.40 is: 2,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.47 : 4,143.70 = 1,944.40 : x
  2. Step 2: Convert to fraction form
    2,762.47/4,143.70 = 1,944.40/x
  3. Step 3: Cross multiply
    2,762.47x = 4,143.70 × 1,944.40
  4. Step 4: Simplify right side
    2,762.47x = 8,057,010.28
  5. Step 5: Solve for x
    x = 8,057,010.28/2,762.47
  6. Step 6: Final answer
    x = 2,916.60

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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.