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Finding the Fourth Proportional to 3,111.42, 4,665.52 and 919.88

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Solution

The fourth proportional to 3,111.42, 4,665.52 and 919.88 is: 1,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.42 : 4,665.52 = 919.88 : x
  2. Step 2: Convert to fraction form
    3,111.42/4,665.52 = 919.88/x
  3. Step 3: Cross multiply
    3,111.42x = 4,665.52 × 919.88
  4. Step 4: Simplify right side
    3,111.42x = 4,291,718.54
  5. Step 5: Solve for x
    x = 4,291,718.54/3,111.42
  6. Step 6: Final answer
    x = 1,379.34

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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.