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Finding the Fourth Proportional to 1,900.53, 2,849.79 and 898.83

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Solution

The fourth proportional to 1,900.53, 2,849.79 and 898.83 is: 1,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.53 : 2,849.79 = 898.83 : x
  2. Step 2: Convert to fraction form
    1,900.53/2,849.79 = 898.83/x
  3. Step 3: Cross multiply
    1,900.53x = 2,849.79 × 898.83
  4. Step 4: Simplify right side
    1,900.53x = 2,561,476.75
  5. Step 5: Solve for x
    x = 2,561,476.75/1,900.53
  6. Step 6: Final answer
    x = 1,347.77

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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.