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Finding the Fourth Proportional to 2,514, 3,763.98 and 1,895.77

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Solution

The fourth proportional to 2,514, 3,763.98 and 1,895.77 is: 2,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514 : 3,763.98 = 1,895.77 : x
  2. Step 2: Convert to fraction form
    2,514/3,763.98 = 1,895.77/x
  3. Step 3: Cross multiply
    2,514x = 3,763.98 × 1,895.77
  4. Step 4: Simplify right side
    2,514x = 7,135,612.07
  5. Step 5: Solve for x
    x = 7,135,612.07/2,514
  6. Step 6: Final answer
    x = 2,838.35

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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.