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Finding the Fourth Proportional to 3,151.70, 4,727.55 and 1,985.30

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Solution

The fourth proportional to 3,151.70, 4,727.55 and 1,985.30 is: 2,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.70 : 4,727.55 = 1,985.30 : x
  2. Step 2: Convert to fraction form
    3,151.70/4,727.55 = 1,985.30/x
  3. Step 3: Cross multiply
    3,151.70x = 4,727.55 × 1,985.30
  4. Step 4: Simplify right side
    3,151.70x = 9,385,605.02
  5. Step 5: Solve for x
    x = 9,385,605.02/3,151.70
  6. Step 6: Final answer
    x = 2,977.95

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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.