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Finding the Fourth Proportional to 2,945.66, 4,065.03 and 1,601.26

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Solution

The fourth proportional to 2,945.66, 4,065.03 and 1,601.26 is: 2,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.66 : 4,065.03 = 1,601.26 : x
  2. Step 2: Convert to fraction form
    2,945.66/4,065.03 = 1,601.26/x
  3. Step 3: Cross multiply
    2,945.66x = 4,065.03 × 1,601.26
  4. Step 4: Simplify right side
    2,945.66x = 6,509,159.78
  5. Step 5: Solve for x
    x = 6,509,159.78/2,945.66
  6. Step 6: Final answer
    x = 2,209.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.