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Finding the Fourth Proportional to 2,068.99, 3,106.35 and 1,069.06

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Solution

The fourth proportional to 2,068.99, 3,106.35 and 1,069.06 is: 1,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.99 : 3,106.35 = 1,069.06 : x
  2. Step 2: Convert to fraction form
    2,068.99/3,106.35 = 1,069.06/x
  3. Step 3: Cross multiply
    2,068.99x = 3,106.35 × 1,069.06
  4. Step 4: Simplify right side
    2,068.99x = 3,320,874.53
  5. Step 5: Solve for x
    x = 3,320,874.53/2,068.99
  6. Step 6: Final answer
    x = 1,605.07

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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.