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Finding the Fourth Proportional to 2,707.78, 4,058.94 and 1,065.48

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Solution

The fourth proportional to 2,707.78, 4,058.94 and 1,065.48 is: 1,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.78 : 4,058.94 = 1,065.48 : x
  2. Step 2: Convert to fraction form
    2,707.78/4,058.94 = 1,065.48/x
  3. Step 3: Cross multiply
    2,707.78x = 4,058.94 × 1,065.48
  4. Step 4: Simplify right side
    2,707.78x = 4,324,710.59
  5. Step 5: Solve for x
    x = 4,324,710.59/2,707.78
  6. Step 6: Final answer
    x = 1,597.14

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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.