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Finding the Fourth Proportional to 2,296.12, 3,444.18 and 652.69

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Solution

The fourth proportional to 2,296.12, 3,444.18 and 652.69 is: 979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.12 : 3,444.18 = 652.69 : x
  2. Step 2: Convert to fraction form
    2,296.12/3,444.18 = 652.69/x
  3. Step 3: Cross multiply
    2,296.12x = 3,444.18 × 652.69
  4. Step 4: Simplify right side
    2,296.12x = 2,247,981.84
  5. Step 5: Solve for x
    x = 2,247,981.84/2,296.12
  6. Step 6: Final answer
    x = 979.04

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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.