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Finding the Fourth Proportional to 1,677.70, 2,514.12 and 1,625.05

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Solution

The fourth proportional to 1,677.70, 2,514.12 and 1,625.05 is: 2,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.70 : 2,514.12 = 1,625.05 : x
  2. Step 2: Convert to fraction form
    1,677.70/2,514.12 = 1,625.05/x
  3. Step 3: Cross multiply
    1,677.70x = 2,514.12 × 1,625.05
  4. Step 4: Simplify right side
    1,677.70x = 4,085,570.71
  5. Step 5: Solve for x
    x = 4,085,570.71/1,677.70
  6. Step 6: Final answer
    x = 2,435.22

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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.