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Finding the Fourth Proportional to 2,503.23, 3,754.92 and 654.32

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Solution

The fourth proportional to 2,503.23, 3,754.92 and 654.32 is: 981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.23 : 3,754.92 = 654.32 : x
  2. Step 2: Convert to fraction form
    2,503.23/3,754.92 = 654.32/x
  3. Step 3: Cross multiply
    2,503.23x = 3,754.92 × 654.32
  4. Step 4: Simplify right side
    2,503.23x = 2,456,900.48
  5. Step 5: Solve for x
    x = 2,456,900.48/2,503.23
  6. Step 6: Final answer
    x = 981.49

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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.