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Finding the Fourth Proportional to 2,784.87, 4,177.72 and 910.17

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Solution

The fourth proportional to 2,784.87, 4,177.72 and 910.17 is: 1,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.87 : 4,177.72 = 910.17 : x
  2. Step 2: Convert to fraction form
    2,784.87/4,177.72 = 910.17/x
  3. Step 3: Cross multiply
    2,784.87x = 4,177.72 × 910.17
  4. Step 4: Simplify right side
    2,784.87x = 3,802,435.41
  5. Step 5: Solve for x
    x = 3,802,435.41/2,784.87
  6. Step 6: Final answer
    x = 1,365.39

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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.