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Finding the Fourth Proportional to 2,740.52, 4,110.83 and 985.62

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Solution

The fourth proportional to 2,740.52, 4,110.83 and 985.62 is: 1,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.52 : 4,110.83 = 985.62 : x
  2. Step 2: Convert to fraction form
    2,740.52/4,110.83 = 985.62/x
  3. Step 3: Cross multiply
    2,740.52x = 4,110.83 × 985.62
  4. Step 4: Simplify right side
    2,740.52x = 4,051,716.26
  5. Step 5: Solve for x
    x = 4,051,716.26/2,740.52
  6. Step 6: Final answer
    x = 1,478.45

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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.