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Finding the Fourth Proportional to 3,191.06, 4,783.17 and 1,543.98

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Solution

The fourth proportional to 3,191.06, 4,783.17 and 1,543.98 is: 2,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.06 : 4,783.17 = 1,543.98 : x
  2. Step 2: Convert to fraction form
    3,191.06/4,783.17 = 1,543.98/x
  3. Step 3: Cross multiply
    3,191.06x = 4,783.17 × 1,543.98
  4. Step 4: Simplify right side
    3,191.06x = 7,385,106.95
  5. Step 5: Solve for x
    x = 7,385,106.95/3,191.06
  6. Step 6: Final answer
    x = 2,314.31

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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.