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Finding the Fourth Proportional to 1,510.40, 2,078.11 and 1,224.26

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Solution

The fourth proportional to 1,510.40, 2,078.11 and 1,224.26 is: 1,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.40 : 2,078.11 = 1,224.26 : x
  2. Step 2: Convert to fraction form
    1,510.40/2,078.11 = 1,224.26/x
  3. Step 3: Cross multiply
    1,510.40x = 2,078.11 × 1,224.26
  4. Step 4: Simplify right side
    1,510.40x = 2,544,150.68
  5. Step 5: Solve for x
    x = 2,544,150.68/1,510.40
  6. Step 6: Final answer
    x = 1,684.43

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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.