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Finding the Fourth Proportional to 3,262.92, 4,503.03 and 1,865.64

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Solution

The fourth proportional to 3,262.92, 4,503.03 and 1,865.64 is: 2,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.92 : 4,503.03 = 1,865.64 : x
  2. Step 2: Convert to fraction form
    3,262.92/4,503.03 = 1,865.64/x
  3. Step 3: Cross multiply
    3,262.92x = 4,503.03 × 1,865.64
  4. Step 4: Simplify right side
    3,262.92x = 8,401,032.89
  5. Step 5: Solve for x
    x = 8,401,032.89/3,262.92
  6. Step 6: Final answer
    x = 2,574.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.