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Finding the Fourth Proportional to 2,407.22, 3,610.50 and 652.35

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Solution

The fourth proportional to 2,407.22, 3,610.50 and 652.35 is: 978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.22 : 3,610.50 = 652.35 : x
  2. Step 2: Convert to fraction form
    2,407.22/3,610.50 = 652.35/x
  3. Step 3: Cross multiply
    2,407.22x = 3,610.50 × 652.35
  4. Step 4: Simplify right side
    2,407.22x = 2,355,309.68
  5. Step 5: Solve for x
    x = 2,355,309.68/2,407.22
  6. Step 6: Final answer
    x = 978.44

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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.