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Finding the Fourth Proportional to 2,296.11, 3,444.19 and 652.66

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Solution

The fourth proportional to 2,296.11, 3,444.19 and 652.66 is: 979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.11 : 3,444.19 = 652.66 : x
  2. Step 2: Convert to fraction form
    2,296.11/3,444.19 = 652.66/x
  3. Step 3: Cross multiply
    2,296.11x = 3,444.19 × 652.66
  4. Step 4: Simplify right side
    2,296.11x = 2,247,885.05
  5. Step 5: Solve for x
    x = 2,247,885.05/2,296.11
  6. Step 6: Final answer
    x = 979.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.