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Finding the Fourth Proportional to 2,527.40, 3,790.18 and 883.48

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Solution

The fourth proportional to 2,527.40, 3,790.18 and 883.48 is: 1,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.40 : 3,790.18 = 883.48 : x
  2. Step 2: Convert to fraction form
    2,527.40/3,790.18 = 883.48/x
  3. Step 3: Cross multiply
    2,527.40x = 3,790.18 × 883.48
  4. Step 4: Simplify right side
    2,527.40x = 3,348,548.23
  5. Step 5: Solve for x
    x = 3,348,548.23/2,527.40
  6. Step 6: Final answer
    x = 1,324.90

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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.