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Finding the Fourth Proportional to 2,878.42, 4,313.49 and 1,415.92

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Solution

The fourth proportional to 2,878.42, 4,313.49 and 1,415.92 is: 2,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.42 : 4,313.49 = 1,415.92 : x
  2. Step 2: Convert to fraction form
    2,878.42/4,313.49 = 1,415.92/x
  3. Step 3: Cross multiply
    2,878.42x = 4,313.49 × 1,415.92
  4. Step 4: Simplify right side
    2,878.42x = 6,107,556.76
  5. Step 5: Solve for x
    x = 6,107,556.76/2,878.42
  6. Step 6: Final answer
    x = 2,121.84

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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.