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Finding the Fourth Proportional to 2,296.01, 3,443.39 and 652.11

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Solution

The fourth proportional to 2,296.01, 3,443.39 and 652.11 is: 977.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.01 : 3,443.39 = 652.11 : x
  2. Step 2: Convert to fraction form
    2,296.01/3,443.39 = 652.11/x
  3. Step 3: Cross multiply
    2,296.01x = 3,443.39 × 652.11
  4. Step 4: Simplify right side
    2,296.01x = 2,245,477.70
  5. Step 5: Solve for x
    x = 2,245,477.70/2,296.01
  6. Step 6: Final answer
    x = 977.99

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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.