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Finding the Fourth Proportional to 2,296.38, 3,444.54 and 652.92

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Solution

The fourth proportional to 2,296.38, 3,444.54 and 652.92 is: 979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.38 : 3,444.54 = 652.92 : x
  2. Step 2: Convert to fraction form
    2,296.38/3,444.54 = 652.92/x
  3. Step 3: Cross multiply
    2,296.38x = 3,444.54 × 652.92
  4. Step 4: Simplify right side
    2,296.38x = 2,249,009.06
  5. Step 5: Solve for x
    x = 2,249,009.06/2,296.38
  6. Step 6: Final answer
    x = 979.37

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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.