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Finding the Fourth Proportional to 2,012.65, 3,019.59 and 902.99

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Solution

The fourth proportional to 2,012.65, 3,019.59 and 902.99 is: 1,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.65 : 3,019.59 = 902.99 : x
  2. Step 2: Convert to fraction form
    2,012.65/3,019.59 = 902.99/x
  3. Step 3: Cross multiply
    2,012.65x = 3,019.59 × 902.99
  4. Step 4: Simplify right side
    2,012.65x = 2,726,667.12
  5. Step 5: Solve for x
    x = 2,726,667.12/2,012.65
  6. Step 6: Final answer
    x = 1,354.77

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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.