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Finding the Fourth Proportional to 2,705.78, 4,055.60 and 1,144.81

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Solution

The fourth proportional to 2,705.78, 4,055.60 and 1,144.81 is: 1,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.78 : 4,055.60 = 1,144.81 : x
  2. Step 2: Convert to fraction form
    2,705.78/4,055.60 = 1,144.81/x
  3. Step 3: Cross multiply
    2,705.78x = 4,055.60 × 1,144.81
  4. Step 4: Simplify right side
    2,705.78x = 4,642,882.79
  5. Step 5: Solve for x
    x = 4,642,882.79/2,705.78
  6. Step 6: Final answer
    x = 1,715.91

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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.