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Finding the Fourth Proportional to 4,702.86, 7,049.57 and 1,780.38

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Solution

The fourth proportional to 4,702.86, 7,049.57 and 1,780.38 is: 2,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.86 : 7,049.57 = 1,780.38 : x
  2. Step 2: Convert to fraction form
    4,702.86/7,049.57 = 1,780.38/x
  3. Step 3: Cross multiply
    4,702.86x = 7,049.57 × 1,780.38
  4. Step 4: Simplify right side
    4,702.86x = 12,550,904.53
  5. Step 5: Solve for x
    x = 12,550,904.53/4,702.86
  6. Step 6: Final answer
    x = 2,668.78

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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.