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Finding the Fourth Proportional to 2,334.97, 3,502.58 and 603.61

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Solution

The fourth proportional to 2,334.97, 3,502.58 and 603.61 is: 905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.97 : 3,502.58 = 603.61 : x
  2. Step 2: Convert to fraction form
    2,334.97/3,502.58 = 603.61/x
  3. Step 3: Cross multiply
    2,334.97x = 3,502.58 × 603.61
  4. Step 4: Simplify right side
    2,334.97x = 2,114,192.31
  5. Step 5: Solve for x
    x = 2,114,192.31/2,334.97
  6. Step 6: Final answer
    x = 905.45

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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.