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Finding the Fourth Proportional to 2,063.77, 3,095.34 and 602.62

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Solution

The fourth proportional to 2,063.77, 3,095.34 and 602.62 is: 903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.77 : 3,095.34 = 602.62 : x
  2. Step 2: Convert to fraction form
    2,063.77/3,095.34 = 602.62/x
  3. Step 3: Cross multiply
    2,063.77x = 3,095.34 × 602.62
  4. Step 4: Simplify right side
    2,063.77x = 1,865,313.79
  5. Step 5: Solve for x
    x = 1,865,313.79/2,063.77
  6. Step 6: Final answer
    x = 903.84

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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.