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Finding the Fourth Proportional to 2,677.47, 3,693.54 and 1,826.06

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Solution

The fourth proportional to 2,677.47, 3,693.54 and 1,826.06 is: 2,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.47 : 3,693.54 = 1,826.06 : x
  2. Step 2: Convert to fraction form
    2,677.47/3,693.54 = 1,826.06/x
  3. Step 3: Cross multiply
    2,677.47x = 3,693.54 × 1,826.06
  4. Step 4: Simplify right side
    2,677.47x = 6,744,607.18
  5. Step 5: Solve for x
    x = 6,744,607.18/2,677.47
  6. Step 6: Final answer
    x = 2,519.02

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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.