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Finding the Fourth Proportional to 1,690.88, 2,524.07 and 1,461.24

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Solution

The fourth proportional to 1,690.88, 2,524.07 and 1,461.24 is: 2,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.88 : 2,524.07 = 1,461.24 : x
  2. Step 2: Convert to fraction form
    1,690.88/2,524.07 = 1,461.24/x
  3. Step 3: Cross multiply
    1,690.88x = 2,524.07 × 1,461.24
  4. Step 4: Simplify right side
    1,690.88x = 3,688,272.05
  5. Step 5: Solve for x
    x = 3,688,272.05/1,690.88
  6. Step 6: Final answer
    x = 2,181.27

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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.