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Finding the Fourth Proportional to 2,064.17, 3,096.76 and 603.33

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Solution

The fourth proportional to 2,064.17, 3,096.76 and 603.33 is: 905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.17 : 3,096.76 = 603.33 : x
  2. Step 2: Convert to fraction form
    2,064.17/3,096.76 = 603.33/x
  3. Step 3: Cross multiply
    2,064.17x = 3,096.76 × 603.33
  4. Step 4: Simplify right side
    2,064.17x = 1,868,368.21
  5. Step 5: Solve for x
    x = 1,868,368.21/2,064.17
  6. Step 6: Final answer
    x = 905.14

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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.