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Finding the Fourth Proportional to 1,510.74, 2,266.83 and 817.38

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Solution

The fourth proportional to 1,510.74, 2,266.83 and 817.38 is: 1,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.74 : 2,266.83 = 817.38 : x
  2. Step 2: Convert to fraction form
    1,510.74/2,266.83 = 817.38/x
  3. Step 3: Cross multiply
    1,510.74x = 2,266.83 × 817.38
  4. Step 4: Simplify right side
    1,510.74x = 1,852,861.51
  5. Step 5: Solve for x
    x = 1,852,861.51/1,510.74
  6. Step 6: Final answer
    x = 1,226.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.