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Finding the Fourth Proportional to 3,111.99, 4,666.86 and 1,356.90

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Solution

The fourth proportional to 3,111.99, 4,666.86 and 1,356.90 is: 2,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.99 : 4,666.86 = 1,356.90 : x
  2. Step 2: Convert to fraction form
    3,111.99/4,666.86 = 1,356.90/x
  3. Step 3: Cross multiply
    3,111.99x = 4,666.86 × 1,356.90
  4. Step 4: Simplify right side
    3,111.99x = 6,332,462.33
  5. Step 5: Solve for x
    x = 6,332,462.33/3,111.99
  6. Step 6: Final answer
    x = 2,034.86

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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.