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Finding the Fourth Proportional to 2,160.61, 2,981.93 and 1,216.59

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Solution

The fourth proportional to 2,160.61, 2,981.93 and 1,216.59 is: 1,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.61 : 2,981.93 = 1,216.59 : x
  2. Step 2: Convert to fraction form
    2,160.61/2,981.93 = 1,216.59/x
  3. Step 3: Cross multiply
    2,160.61x = 2,981.93 × 1,216.59
  4. Step 4: Simplify right side
    2,160.61x = 3,627,789.26
  5. Step 5: Solve for x
    x = 3,627,789.26/2,160.61
  6. Step 6: Final answer
    x = 1,679.06

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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.