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Finding the Fourth Proportional to 2,707.92, 4,058.83 and 1,772.66

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Solution

The fourth proportional to 2,707.92, 4,058.83 and 1,772.66 is: 2,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.92 : 4,058.83 = 1,772.66 : x
  2. Step 2: Convert to fraction form
    2,707.92/4,058.83 = 1,772.66/x
  3. Step 3: Cross multiply
    2,707.92x = 4,058.83 × 1,772.66
  4. Step 4: Simplify right side
    2,707.92x = 7,194,925.59
  5. Step 5: Solve for x
    x = 7,194,925.59/2,707.92
  6. Step 6: Final answer
    x = 2,656.99

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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.