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Finding the Fourth Proportional to 1,510, 2,082.81 and 1,089.64

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Solution

The fourth proportional to 1,510, 2,082.81 and 1,089.64 is: 1,502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510 : 2,082.81 = 1,089.64 : x
  2. Step 2: Convert to fraction form
    1,510/2,082.81 = 1,089.64/x
  3. Step 3: Cross multiply
    1,510x = 2,082.81 × 1,089.64
  4. Step 4: Simplify right side
    1,510x = 2,269,513.09
  5. Step 5: Solve for x
    x = 2,269,513.09/1,510
  6. Step 6: Final answer
    x = 1,502.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.