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Finding the Fourth Proportional to 2,784.71, 4,177.28 and 935.81

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Solution

The fourth proportional to 2,784.71, 4,177.28 and 935.81 is: 1,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.71 : 4,177.28 = 935.81 : x
  2. Step 2: Convert to fraction form
    2,784.71/4,177.28 = 935.81/x
  3. Step 3: Cross multiply
    2,784.71x = 4,177.28 × 935.81
  4. Step 4: Simplify right side
    2,784.71x = 3,909,114.83
  5. Step 5: Solve for x
    x = 3,909,114.83/2,784.71
  6. Step 6: Final answer
    x = 1,403.78

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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.