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Finding the Fourth Proportional to 2,807, 4,212.78 and 2,398.76

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Solution

The fourth proportional to 2,807, 4,212.78 and 2,398.76 is: 3,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807 : 4,212.78 = 2,398.76 : x
  2. Step 2: Convert to fraction form
    2,807/4,212.78 = 2,398.76/x
  3. Step 3: Cross multiply
    2,807x = 4,212.78 × 2,398.76
  4. Step 4: Simplify right side
    2,807x = 10,105,448.15
  5. Step 5: Solve for x
    x = 10,105,448.15/2,807
  6. Step 6: Final answer
    x = 3,600.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.