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Finding the Fourth Proportional to 1,800.86, 2,702.10 and 761.63

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Solution

The fourth proportional to 1,800.86, 2,702.10 and 761.63 is: 1,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.86 : 2,702.10 = 761.63 : x
  2. Step 2: Convert to fraction form
    1,800.86/2,702.10 = 761.63/x
  3. Step 3: Cross multiply
    1,800.86x = 2,702.10 × 761.63
  4. Step 4: Simplify right side
    1,800.86x = 2,057,986.91
  5. Step 5: Solve for x
    x = 2,057,986.91/1,800.86
  6. Step 6: Final answer
    x = 1,142.78

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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.