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Finding the Fourth Proportional to 2,105.65, 3,159.15 and 1,010.09

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Solution

The fourth proportional to 2,105.65, 3,159.15 and 1,010.09 is: 1,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.65 : 3,159.15 = 1,010.09 : x
  2. Step 2: Convert to fraction form
    2,105.65/3,159.15 = 1,010.09/x
  3. Step 3: Cross multiply
    2,105.65x = 3,159.15 × 1,010.09
  4. Step 4: Simplify right side
    2,105.65x = 3,191,004.98
  5. Step 5: Solve for x
    x = 3,191,004.98/2,105.65
  6. Step 6: Final answer
    x = 1,515.45

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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.