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Finding the Fourth Proportional to 2,526.80, 3,790.38 and 883.16

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Solution

The fourth proportional to 2,526.80, 3,790.38 and 883.16 is: 1,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.80 : 3,790.38 = 883.16 : x
  2. Step 2: Convert to fraction form
    2,526.80/3,790.38 = 883.16/x
  3. Step 3: Cross multiply
    2,526.80x = 3,790.38 × 883.16
  4. Step 4: Simplify right side
    2,526.80x = 3,347,512.00
  5. Step 5: Solve for x
    x = 3,347,512.00/2,526.80
  6. Step 6: Final answer
    x = 1,324.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.