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Finding the Fourth Proportional to 2,195.98, 3,290.90 and 1,952.03

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Solution

The fourth proportional to 2,195.98, 3,290.90 and 1,952.03 is: 2,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.98 : 3,290.90 = 1,952.03 : x
  2. Step 2: Convert to fraction form
    2,195.98/3,290.90 = 1,952.03/x
  3. Step 3: Cross multiply
    2,195.98x = 3,290.90 × 1,952.03
  4. Step 4: Simplify right side
    2,195.98x = 6,423,933.99
  5. Step 5: Solve for x
    x = 6,423,933.99/2,195.98
  6. Step 6: Final answer
    x = 2,925.32

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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.