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Finding the Fourth Proportional to 2,510.25, 3,464.16 and 1,391.16

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Solution

The fourth proportional to 2,510.25, 3,464.16 and 1,391.16 is: 1,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.25 : 3,464.16 = 1,391.16 : x
  2. Step 2: Convert to fraction form
    2,510.25/3,464.16 = 1,391.16/x
  3. Step 3: Cross multiply
    2,510.25x = 3,464.16 × 1,391.16
  4. Step 4: Simplify right side
    2,510.25x = 4,819,200.83
  5. Step 5: Solve for x
    x = 4,819,200.83/2,510.25
  6. Step 6: Final answer
    x = 1,919.81

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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.