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Finding the Fourth Proportional to 1,732.06, 2,390.22 and 985.87

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Solution

The fourth proportional to 1,732.06, 2,390.22 and 985.87 is: 1,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.06 : 2,390.22 = 985.87 : x
  2. Step 2: Convert to fraction form
    1,732.06/2,390.22 = 985.87/x
  3. Step 3: Cross multiply
    1,732.06x = 2,390.22 × 985.87
  4. Step 4: Simplify right side
    1,732.06x = 2,356,446.19
  5. Step 5: Solve for x
    x = 2,356,446.19/1,732.06
  6. Step 6: Final answer
    x = 1,360.49

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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.