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Finding the Fourth Proportional to 2,719.06, 4,076.78 and 987.46

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Solution

The fourth proportional to 2,719.06, 4,076.78 and 987.46 is: 1,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.06 : 4,076.78 = 987.46 : x
  2. Step 2: Convert to fraction form
    2,719.06/4,076.78 = 987.46/x
  3. Step 3: Cross multiply
    2,719.06x = 4,076.78 × 987.46
  4. Step 4: Simplify right side
    2,719.06x = 4,025,657.18
  5. Step 5: Solve for x
    x = 4,025,657.18/2,719.06
  6. Step 6: Final answer
    x = 1,480.53

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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.