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Finding the Fourth Proportional to 2,335.76, 3,503.64 and 604.24

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Solution

The fourth proportional to 2,335.76, 3,503.64 and 604.24 is: 906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.76 : 3,503.64 = 604.24 : x
  2. Step 2: Convert to fraction form
    2,335.76/3,503.64 = 604.24/x
  3. Step 3: Cross multiply
    2,335.76x = 3,503.64 × 604.24
  4. Step 4: Simplify right side
    2,335.76x = 2,117,039.43
  5. Step 5: Solve for x
    x = 2,117,039.43/2,335.76
  6. Step 6: Final answer
    x = 906.36

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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.