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Finding the Fourth Proportional to 1,607.06, 2,216.82 and 943.79

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Solution

The fourth proportional to 1,607.06, 2,216.82 and 943.79 is: 1,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.06 : 2,216.82 = 943.79 : x
  2. Step 2: Convert to fraction form
    1,607.06/2,216.82 = 943.79/x
  3. Step 3: Cross multiply
    1,607.06x = 2,216.82 × 943.79
  4. Step 4: Simplify right side
    1,607.06x = 2,092,212.55
  5. Step 5: Solve for x
    x = 2,092,212.55/1,607.06
  6. Step 6: Final answer
    x = 1,301.89

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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.