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Finding the Fourth Proportional to 1,424.68, 2,136.62 and 903.89

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Solution

The fourth proportional to 1,424.68, 2,136.62 and 903.89 is: 1,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.68 : 2,136.62 = 903.89 : x
  2. Step 2: Convert to fraction form
    1,424.68/2,136.62 = 903.89/x
  3. Step 3: Cross multiply
    1,424.68x = 2,136.62 × 903.89
  4. Step 4: Simplify right side
    1,424.68x = 1,931,277.05
  5. Step 5: Solve for x
    x = 1,931,277.05/1,424.68
  6. Step 6: Final answer
    x = 1,355.59

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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.