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Finding the Fourth Proportional to 2,510.75, 3,763.62 and 1,192.19

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Solution

The fourth proportional to 2,510.75, 3,763.62 and 1,192.19 is: 1,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.75 : 3,763.62 = 1,192.19 : x
  2. Step 2: Convert to fraction form
    2,510.75/3,763.62 = 1,192.19/x
  3. Step 3: Cross multiply
    2,510.75x = 3,763.62 × 1,192.19
  4. Step 4: Simplify right side
    2,510.75x = 4,486,931.31
  5. Step 5: Solve for x
    x = 4,486,931.31/2,510.75
  6. Step 6: Final answer
    x = 1,787.09

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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.