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Finding the Fourth Proportional to 2,483.52, 3,730.14 and 2,328

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Solution

The fourth proportional to 2,483.52, 3,730.14 and 2,328 is: 3,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.52 : 3,730.14 = 2,328 : x
  2. Step 2: Convert to fraction form
    2,483.52/3,730.14 = 2,328/x
  3. Step 3: Cross multiply
    2,483.52x = 3,730.14 × 2,328
  4. Step 4: Simplify right side
    2,483.52x = 8,683,765.92
  5. Step 5: Solve for x
    x = 8,683,765.92/2,483.52
  6. Step 6: Final answer
    x = 3,496.56

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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.