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Finding the Fourth Proportional to 2,068.30, 3,101.73 and 607.06

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Solution

The fourth proportional to 2,068.30, 3,101.73 and 607.06 is: 910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.30 : 3,101.73 = 607.06 : x
  2. Step 2: Convert to fraction form
    2,068.30/3,101.73 = 607.06/x
  3. Step 3: Cross multiply
    2,068.30x = 3,101.73 × 607.06
  4. Step 4: Simplify right side
    2,068.30x = 1,882,936.21
  5. Step 5: Solve for x
    x = 1,882,936.21/2,068.30
  6. Step 6: Final answer
    x = 910.38

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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.