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Finding the Fourth Proportional to 2,296.34, 3,443.49 and 652.51

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Solution

The fourth proportional to 2,296.34, 3,443.49 and 652.51 is: 978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.34 : 3,443.49 = 652.51 : x
  2. Step 2: Convert to fraction form
    2,296.34/3,443.49 = 652.51/x
  3. Step 3: Cross multiply
    2,296.34x = 3,443.49 × 652.51
  4. Step 4: Simplify right side
    2,296.34x = 2,246,894.76
  5. Step 5: Solve for x
    x = 2,246,894.76/2,296.34
  6. Step 6: Final answer
    x = 978.47

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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.