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Finding the Fourth Proportional to 2,775.47, 3,826.44 and 1,829.66

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Solution

The fourth proportional to 2,775.47, 3,826.44 and 1,829.66 is: 2,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.47 : 3,826.44 = 1,829.66 : x
  2. Step 2: Convert to fraction form
    2,775.47/3,826.44 = 1,829.66/x
  3. Step 3: Cross multiply
    2,775.47x = 3,826.44 × 1,829.66
  4. Step 4: Simplify right side
    2,775.47x = 7,001,065.08
  5. Step 5: Solve for x
    x = 7,001,065.08/2,775.47
  6. Step 6: Final answer
    x = 2,522.48

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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.