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Finding the Fourth Proportional to 2,064.35, 3,096.97 and 603.65

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Solution

The fourth proportional to 2,064.35, 3,096.97 and 603.65 is: 905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.35 : 3,096.97 = 603.65 : x
  2. Step 2: Convert to fraction form
    2,064.35/3,096.97 = 603.65/x
  3. Step 3: Cross multiply
    2,064.35x = 3,096.97 × 603.65
  4. Step 4: Simplify right side
    2,064.35x = 1,869,492.17
  5. Step 5: Solve for x
    x = 1,869,492.17/2,064.35
  6. Step 6: Final answer
    x = 905.61

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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.