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Finding the Fourth Proportional to 2,136.03, 3,206.24 and 903.93

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Solution

The fourth proportional to 2,136.03, 3,206.24 and 903.93 is: 1,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.03 : 3,206.24 = 903.93 : x
  2. Step 2: Convert to fraction form
    2,136.03/3,206.24 = 903.93/x
  3. Step 3: Cross multiply
    2,136.03x = 3,206.24 × 903.93
  4. Step 4: Simplify right side
    2,136.03x = 2,898,212.00
  5. Step 5: Solve for x
    x = 2,898,212.00/2,136.03
  6. Step 6: Final answer
    x = 1,356.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.