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Finding the Fourth Proportional to 2,669.16, 4,004.21 and 913.75

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Solution

The fourth proportional to 2,669.16, 4,004.21 and 913.75 is: 1,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.16 : 4,004.21 = 913.75 : x
  2. Step 2: Convert to fraction form
    2,669.16/4,004.21 = 913.75/x
  3. Step 3: Cross multiply
    2,669.16x = 4,004.21 × 913.75
  4. Step 4: Simplify right side
    2,669.16x = 3,658,822.30
  5. Step 5: Solve for x
    x = 3,658,822.30/2,669.16
  6. Step 6: Final answer
    x = 1,370.78

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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.