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Finding the Fourth Proportional to 2,807.82, 3,875.15 and 2,334.90

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Solution

The fourth proportional to 2,807.82, 3,875.15 and 2,334.90 is: 3,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.82 : 3,875.15 = 2,334.90 : x
  2. Step 2: Convert to fraction form
    2,807.82/3,875.15 = 2,334.90/x
  3. Step 3: Cross multiply
    2,807.82x = 3,875.15 × 2,334.90
  4. Step 4: Simplify right side
    2,807.82x = 9,048,087.74
  5. Step 5: Solve for x
    x = 9,048,087.74/2,807.82
  6. Step 6: Final answer
    x = 3,222.46

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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.