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Finding the Fourth Proportional to 2,981.93, 4,115.07 and 1,655.66

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Solution

The fourth proportional to 2,981.93, 4,115.07 and 1,655.66 is: 2,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.93 : 4,115.07 = 1,655.66 : x
  2. Step 2: Convert to fraction form
    2,981.93/4,115.07 = 1,655.66/x
  3. Step 3: Cross multiply
    2,981.93x = 4,115.07 × 1,655.66
  4. Step 4: Simplify right side
    2,981.93x = 6,813,136.22
  5. Step 5: Solve for x
    x = 6,813,136.22/2,981.93
  6. Step 6: Final answer
    x = 2,284.81

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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.