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Finding the Fourth Proportional to 1,985.85, 2,981.34 and 1,965.15

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Solution

The fourth proportional to 1,985.85, 2,981.34 and 1,965.15 is: 2,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.85 : 2,981.34 = 1,965.15 : x
  2. Step 2: Convert to fraction form
    1,985.85/2,981.34 = 1,965.15/x
  3. Step 3: Cross multiply
    1,985.85x = 2,981.34 × 1,965.15
  4. Step 4: Simplify right side
    1,985.85x = 5,858,780.30
  5. Step 5: Solve for x
    x = 5,858,780.30/1,985.85
  6. Step 6: Final answer
    x = 2,950.26

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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.