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Finding the Fourth Proportional to 2,987.99, 4,123.13 and 1,661.56

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Solution

The fourth proportional to 2,987.99, 4,123.13 and 1,661.56 is: 2,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.99 : 4,123.13 = 1,661.56 : x
  2. Step 2: Convert to fraction form
    2,987.99/4,123.13 = 1,661.56/x
  3. Step 3: Cross multiply
    2,987.99x = 4,123.13 × 1,661.56
  4. Step 4: Simplify right side
    2,987.99x = 6,850,827.88
  5. Step 5: Solve for x
    x = 6,850,827.88/2,987.99
  6. Step 6: Final answer
    x = 2,292.79

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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.