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Finding the Fourth Proportional to 2,700.95, 3,726.30 and 1,638.34

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Solution

The fourth proportional to 2,700.95, 3,726.30 and 1,638.34 is: 2,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.95 : 3,726.30 = 1,638.34 : x
  2. Step 2: Convert to fraction form
    2,700.95/3,726.30 = 1,638.34/x
  3. Step 3: Cross multiply
    2,700.95x = 3,726.30 × 1,638.34
  4. Step 4: Simplify right side
    2,700.95x = 6,104,946.34
  5. Step 5: Solve for x
    x = 6,104,946.34/2,700.95
  6. Step 6: Final answer
    x = 2,260.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.