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Finding the Fourth Proportional to 2,074.14, 3,109.71 and 687.06

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Solution

The fourth proportional to 2,074.14, 3,109.71 and 687.06 is: 1,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.14 : 3,109.71 = 687.06 : x
  2. Step 2: Convert to fraction form
    2,074.14/3,109.71 = 687.06/x
  3. Step 3: Cross multiply
    2,074.14x = 3,109.71 × 687.06
  4. Step 4: Simplify right side
    2,074.14x = 2,136,557.35
  5. Step 5: Solve for x
    x = 2,136,557.35/2,074.14
  6. Step 6: Final answer
    x = 1,030.09

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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.