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Finding the Fourth Proportional to 2,987.53, 4,122.74 and 1,661.22

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Solution

The fourth proportional to 2,987.53, 4,122.74 and 1,661.22 is: 2,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.53 : 4,122.74 = 1,661.22 : x
  2. Step 2: Convert to fraction form
    2,987.53/4,122.74 = 1,661.22/x
  3. Step 3: Cross multiply
    2,987.53x = 4,122.74 × 1,661.22
  4. Step 4: Simplify right side
    2,987.53x = 6,848,774.99
  5. Step 5: Solve for x
    x = 6,848,774.99/2,987.53
  6. Step 6: Final answer
    x = 2,292.45

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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.