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Finding the Fourth Proportional to 3,091.72, 4,637.70 and 783.28

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Solution

The fourth proportional to 3,091.72, 4,637.70 and 783.28 is: 1,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.72 : 4,637.70 = 783.28 : x
  2. Step 2: Convert to fraction form
    3,091.72/4,637.70 = 783.28/x
  3. Step 3: Cross multiply
    3,091.72x = 4,637.70 × 783.28
  4. Step 4: Simplify right side
    3,091.72x = 3,632,617.66
  5. Step 5: Solve for x
    x = 3,632,617.66/3,091.72
  6. Step 6: Final answer
    x = 1,174.95

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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.