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Finding the Fourth Proportional to 2,064.18, 3,096.50 and 603.35

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Solution

The fourth proportional to 2,064.18, 3,096.50 and 603.35 is: 905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.18 : 3,096.50 = 603.35 : x
  2. Step 2: Convert to fraction form
    2,064.18/3,096.50 = 603.35/x
  3. Step 3: Cross multiply
    2,064.18x = 3,096.50 × 603.35
  4. Step 4: Simplify right side
    2,064.18x = 1,868,266.39
  5. Step 5: Solve for x
    x = 1,868,266.39/2,064.18
  6. Step 6: Final answer
    x = 905.09

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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.