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Finding the Fourth Proportional to 1,900.89, 2,624.41 and 1,457.94

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Solution

The fourth proportional to 1,900.89, 2,624.41 and 1,457.94 is: 2,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.89 : 2,624.41 = 1,457.94 : x
  2. Step 2: Convert to fraction form
    1,900.89/2,624.41 = 1,457.94/x
  3. Step 3: Cross multiply
    1,900.89x = 2,624.41 × 1,457.94
  4. Step 4: Simplify right side
    1,900.89x = 3,826,232.32
  5. Step 5: Solve for x
    x = 3,826,232.32/1,900.89
  6. Step 6: Final answer
    x = 2,012.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.