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Finding the Fourth Proportional to 1,793.61, 2,689.74 and 697.86

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Solution

The fourth proportional to 1,793.61, 2,689.74 and 697.86 is: 1,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.61 : 2,689.74 = 697.86 : x
  2. Step 2: Convert to fraction form
    1,793.61/2,689.74 = 697.86/x
  3. Step 3: Cross multiply
    1,793.61x = 2,689.74 × 697.86
  4. Step 4: Simplify right side
    1,793.61x = 1,877,061.96
  5. Step 5: Solve for x
    x = 1,877,061.96/1,793.61
  6. Step 6: Final answer
    x = 1,046.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.