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Finding the Fourth Proportional to 2,784.25, 4,176.30 and 935.51

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Solution

The fourth proportional to 2,784.25, 4,176.30 and 935.51 is: 1,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.25 : 4,176.30 = 935.51 : x
  2. Step 2: Convert to fraction form
    2,784.25/4,176.30 = 935.51/x
  3. Step 3: Cross multiply
    2,784.25x = 4,176.30 × 935.51
  4. Step 4: Simplify right side
    2,784.25x = 3,906,970.41
  5. Step 5: Solve for x
    x = 3,906,970.41/2,784.25
  6. Step 6: Final answer
    x = 1,403.24

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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.