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Finding the Fourth Proportional to 2,074.29, 3,109.89 and 904.07

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Solution

The fourth proportional to 2,074.29, 3,109.89 and 904.07 is: 1,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.29 : 3,109.89 = 904.07 : x
  2. Step 2: Convert to fraction form
    2,074.29/3,109.89 = 904.07/x
  3. Step 3: Cross multiply
    2,074.29x = 3,109.89 × 904.07
  4. Step 4: Simplify right side
    2,074.29x = 2,811,566.03
  5. Step 5: Solve for x
    x = 2,811,566.03/2,074.29
  6. Step 6: Final answer
    x = 1,355.44

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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.