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Finding the Fourth Proportional to 1,522.10, 2,267.16 and 1,451

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Solution

The fourth proportional to 1,522.10, 2,267.16 and 1,451 is: 2,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.10 : 2,267.16 = 1,451 : x
  2. Step 2: Convert to fraction form
    1,522.10/2,267.16 = 1,451/x
  3. Step 3: Cross multiply
    1,522.10x = 2,267.16 × 1,451
  4. Step 4: Simplify right side
    1,522.10x = 3,289,649.16
  5. Step 5: Solve for x
    x = 3,289,649.16/1,522.10
  6. Step 6: Final answer
    x = 2,161.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.