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Finding the Fourth Proportional to 2,527.48, 3,784.02 and 2,279.80

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Solution

The fourth proportional to 2,527.48, 3,784.02 and 2,279.80 is: 3,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.48 : 3,784.02 = 2,279.80 : x
  2. Step 2: Convert to fraction form
    2,527.48/3,784.02 = 2,279.80/x
  3. Step 3: Cross multiply
    2,527.48x = 3,784.02 × 2,279.80
  4. Step 4: Simplify right side
    2,527.48x = 8,626,808.80
  5. Step 5: Solve for x
    x = 8,626,808.80/2,527.48
  6. Step 6: Final answer
    x = 3,413.21

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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.