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Finding the Fourth Proportional to 2,695.53, 4,044.84 and 1,234.71

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Solution

The fourth proportional to 2,695.53, 4,044.84 and 1,234.71 is: 1,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.53 : 4,044.84 = 1,234.71 : x
  2. Step 2: Convert to fraction form
    2,695.53/4,044.84 = 1,234.71/x
  3. Step 3: Cross multiply
    2,695.53x = 4,044.84 × 1,234.71
  4. Step 4: Simplify right side
    2,695.53x = 4,994,204.40
  5. Step 5: Solve for x
    x = 4,994,204.40/2,695.53
  6. Step 6: Final answer
    x = 1,852.77

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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.