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Finding the Fourth Proportional to 3,266.65, 4,899.23 and 1,510.69

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Solution

The fourth proportional to 3,266.65, 4,899.23 and 1,510.69 is: 2,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.65 : 4,899.23 = 1,510.69 : x
  2. Step 2: Convert to fraction form
    3,266.65/4,899.23 = 1,510.69/x
  3. Step 3: Cross multiply
    3,266.65x = 4,899.23 × 1,510.69
  4. Step 4: Simplify right side
    3,266.65x = 7,401,217.77
  5. Step 5: Solve for x
    x = 7,401,217.77/3,266.65
  6. Step 6: Final answer
    x = 2,265.69

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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.