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Finding the Fourth Proportional to 1,772.62, 2,653.44 and 1,510.18

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Solution

The fourth proportional to 1,772.62, 2,653.44 and 1,510.18 is: 2,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.62 : 2,653.44 = 1,510.18 : x
  2. Step 2: Convert to fraction form
    1,772.62/2,653.44 = 1,510.18/x
  3. Step 3: Cross multiply
    1,772.62x = 2,653.44 × 1,510.18
  4. Step 4: Simplify right side
    1,772.62x = 4,007,172.02
  5. Step 5: Solve for x
    x = 4,007,172.02/1,772.62
  6. Step 6: Final answer
    x = 2,260.59

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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.