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Finding the Fourth Proportional to 1,607.31, 2,218.14 and 889.50

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Solution

The fourth proportional to 1,607.31, 2,218.14 and 889.50 is: 1,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.31 : 2,218.14 = 889.50 : x
  2. Step 2: Convert to fraction form
    1,607.31/2,218.14 = 889.50/x
  3. Step 3: Cross multiply
    1,607.31x = 2,218.14 × 889.50
  4. Step 4: Simplify right side
    1,607.31x = 1,973,035.53
  5. Step 5: Solve for x
    x = 1,973,035.53/1,607.31
  6. Step 6: Final answer
    x = 1,227.54

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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.