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Finding the Fourth Proportional to 2,726.01, 3,762.08 and 1,929.57

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Solution

The fourth proportional to 2,726.01, 3,762.08 and 1,929.57 is: 2,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.01 : 3,762.08 = 1,929.57 : x
  2. Step 2: Convert to fraction form
    2,726.01/3,762.08 = 1,929.57/x
  3. Step 3: Cross multiply
    2,726.01x = 3,762.08 × 1,929.57
  4. Step 4: Simplify right side
    2,726.01x = 7,259,187.06
  5. Step 5: Solve for x
    x = 7,259,187.06/2,726.01
  6. Step 6: Final answer
    x = 2,662.93

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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.