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Finding the Fourth Proportional to 3,314.50, 4,574.00 and 1,988.19

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Solution

The fourth proportional to 3,314.50, 4,574.00 and 1,988.19 is: 2,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.50 : 4,574.00 = 1,988.19 : x
  2. Step 2: Convert to fraction form
    3,314.50/4,574.00 = 1,988.19/x
  3. Step 3: Cross multiply
    3,314.50x = 4,574.00 × 1,988.19
  4. Step 4: Simplify right side
    3,314.50x = 9,093,986.03
  5. Step 5: Solve for x
    x = 9,093,986.03/3,314.50
  6. Step 6: Final answer
    x = 2,743.70

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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.