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Finding the Fourth Proportional to 2,335.50, 3,503.45 and 604.13

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Solution

The fourth proportional to 2,335.50, 3,503.45 and 604.13 is: 906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.50 : 3,503.45 = 604.13 : x
  2. Step 2: Convert to fraction form
    2,335.50/3,503.45 = 604.13/x
  3. Step 3: Cross multiply
    2,335.50x = 3,503.45 × 604.13
  4. Step 4: Simplify right side
    2,335.50x = 2,116,523.24
  5. Step 5: Solve for x
    x = 2,116,523.24/2,335.50
  6. Step 6: Final answer
    x = 906.24

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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.