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Finding the Fourth Proportional to 1,510.89, 2,264.22 and 816.06

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Solution

The fourth proportional to 1,510.89, 2,264.22 and 816.06 is: 1,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.89 : 2,264.22 = 816.06 : x
  2. Step 2: Convert to fraction form
    1,510.89/2,264.22 = 816.06/x
  3. Step 3: Cross multiply
    1,510.89x = 2,264.22 × 816.06
  4. Step 4: Simplify right side
    1,510.89x = 1,847,730.88
  5. Step 5: Solve for x
    x = 1,847,730.88/1,510.89
  6. Step 6: Final answer
    x = 1,222.95

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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.