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Finding the Fourth Proportional to 2,527.47, 3,784.01 and 2,008.22

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Solution

The fourth proportional to 2,527.47, 3,784.01 and 2,008.22 is: 3,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.47 : 3,784.01 = 2,008.22 : x
  2. Step 2: Convert to fraction form
    2,527.47/3,784.01 = 2,008.22/x
  3. Step 3: Cross multiply
    2,527.47x = 3,784.01 × 2,008.22
  4. Step 4: Simplify right side
    2,527.47x = 7,599,095.60
  5. Step 5: Solve for x
    x = 7,599,095.60/2,527.47
  6. Step 6: Final answer
    x = 3,006.60

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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.