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Finding the Fourth Proportional to 2,653.65, 3,981.87 and 1,010.21

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Solution

The fourth proportional to 2,653.65, 3,981.87 and 1,010.21 is: 1,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.65 : 3,981.87 = 1,010.21 : x
  2. Step 2: Convert to fraction form
    2,653.65/3,981.87 = 1,010.21/x
  3. Step 3: Cross multiply
    2,653.65x = 3,981.87 × 1,010.21
  4. Step 4: Simplify right side
    2,653.65x = 4,022,504.98
  5. Step 5: Solve for x
    x = 4,022,504.98/2,653.65
  6. Step 6: Final answer
    x = 1,515.84

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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.