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Finding the Fourth Proportional to 1,510, 2,264.16 and 843.12

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Solution

The fourth proportional to 1,510, 2,264.16 and 843.12 is: 1,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510 : 2,264.16 = 843.12 : x
  2. Step 2: Convert to fraction form
    1,510/2,264.16 = 843.12/x
  3. Step 3: Cross multiply
    1,510x = 2,264.16 × 843.12
  4. Step 4: Simplify right side
    1,510x = 1,908,958.58
  5. Step 5: Solve for x
    x = 1,908,958.58/1,510
  6. Step 6: Final answer
    x = 1,264.21

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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.