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Finding the Fourth Proportional to 2,688, 4,033.26 and 1,301.10

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Solution

The fourth proportional to 2,688, 4,033.26 and 1,301.10 is: 1,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688 : 4,033.26 = 1,301.10 : x
  2. Step 2: Convert to fraction form
    2,688/4,033.26 = 1,301.10/x
  3. Step 3: Cross multiply
    2,688x = 4,033.26 × 1,301.10
  4. Step 4: Simplify right side
    2,688x = 5,247,674.59
  5. Step 5: Solve for x
    x = 5,247,674.59/2,688
  6. Step 6: Final answer
    x = 1,952.26

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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.