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Finding the Fourth Proportional to 3,131.70, 4,319.93 and 1,855.95

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Solution

The fourth proportional to 3,131.70, 4,319.93 and 1,855.95 is: 2,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.70 : 4,319.93 = 1,855.95 : x
  2. Step 2: Convert to fraction form
    3,131.70/4,319.93 = 1,855.95/x
  3. Step 3: Cross multiply
    3,131.70x = 4,319.93 × 1,855.95
  4. Step 4: Simplify right side
    3,131.70x = 8,017,564.80
  5. Step 5: Solve for x
    x = 8,017,564.80/3,131.70
  6. Step 6: Final answer
    x = 2,560.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.