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Finding the Fourth Proportional to 3,115.78, 4,673.69 and 807.28

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Solution

The fourth proportional to 3,115.78, 4,673.69 and 807.28 is: 1,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.78 : 4,673.69 = 807.28 : x
  2. Step 2: Convert to fraction form
    3,115.78/4,673.69 = 807.28/x
  3. Step 3: Cross multiply
    3,115.78x = 4,673.69 × 807.28
  4. Step 4: Simplify right side
    3,115.78x = 3,772,976.46
  5. Step 5: Solve for x
    x = 3,772,976.46/3,115.78
  6. Step 6: Final answer
    x = 1,210.93

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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.