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Finding the Fourth Proportional to 2,829.66, 3,907.62 and 2,291.82

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Solution

The fourth proportional to 2,829.66, 3,907.62 and 2,291.82 is: 3,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.66 : 3,907.62 = 2,291.82 : x
  2. Step 2: Convert to fraction form
    2,829.66/3,907.62 = 2,291.82/x
  3. Step 3: Cross multiply
    2,829.66x = 3,907.62 × 2,291.82
  4. Step 4: Simplify right side
    2,829.66x = 8,955,561.67
  5. Step 5: Solve for x
    x = 8,955,561.67/2,829.66
  6. Step 6: Final answer
    x = 3,164.89

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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.