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Finding the Fourth Proportional to 2,705.77, 4,058.79 and 758.17

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Solution

The fourth proportional to 2,705.77, 4,058.79 and 758.17 is: 1,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.77 : 4,058.79 = 758.17 : x
  2. Step 2: Convert to fraction form
    2,705.77/4,058.79 = 758.17/x
  3. Step 3: Cross multiply
    2,705.77x = 4,058.79 × 758.17
  4. Step 4: Simplify right side
    2,705.77x = 3,077,252.81
  5. Step 5: Solve for x
    x = 3,077,252.81/2,705.77
  6. Step 6: Final answer
    x = 1,137.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.