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Finding the Fourth Proportional to 1,624.65, 2,435.90 and 759.21

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Solution

The fourth proportional to 1,624.65, 2,435.90 and 759.21 is: 1,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.65 : 2,435.90 = 759.21 : x
  2. Step 2: Convert to fraction form
    1,624.65/2,435.90 = 759.21/x
  3. Step 3: Cross multiply
    1,624.65x = 2,435.90 × 759.21
  4. Step 4: Simplify right side
    1,624.65x = 1,849,355.84
  5. Step 5: Solve for x
    x = 1,849,355.84/1,624.65
  6. Step 6: Final answer
    x = 1,138.31

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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.