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Finding the Fourth Proportional to 2,155.79, 3,233.23 and 985.46

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Solution

The fourth proportional to 2,155.79, 3,233.23 and 985.46 is: 1,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.79 : 3,233.23 = 985.46 : x
  2. Step 2: Convert to fraction form
    2,155.79/3,233.23 = 985.46/x
  3. Step 3: Cross multiply
    2,155.79x = 3,233.23 × 985.46
  4. Step 4: Simplify right side
    2,155.79x = 3,186,218.84
  5. Step 5: Solve for x
    x = 3,186,218.84/2,155.79
  6. Step 6: Final answer
    x = 1,477.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.