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Finding the Fourth Proportional to 2,700.46, 3,726.75 and 1,638.01

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Solution

The fourth proportional to 2,700.46, 3,726.75 and 1,638.01 is: 2,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.46 : 3,726.75 = 1,638.01 : x
  2. Step 2: Convert to fraction form
    2,700.46/3,726.75 = 1,638.01/x
  3. Step 3: Cross multiply
    2,700.46x = 3,726.75 × 1,638.01
  4. Step 4: Simplify right side
    2,700.46x = 6,104,453.77
  5. Step 5: Solve for x
    x = 6,104,453.77/2,700.46
  6. Step 6: Final answer
    x = 2,260.52

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Why These Related Problems?

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