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Finding the Fourth Proportional to 2,014.13, 3,021.82 and 904.47

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Solution

The fourth proportional to 2,014.13, 3,021.82 and 904.47 is: 1,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.13 : 3,021.82 = 904.47 : x
  2. Step 2: Convert to fraction form
    2,014.13/3,021.82 = 904.47/x
  3. Step 3: Cross multiply
    2,014.13x = 3,021.82 × 904.47
  4. Step 4: Simplify right side
    2,014.13x = 2,733,145.54
  5. Step 5: Solve for x
    x = 2,733,145.54/2,014.13
  6. Step 6: Final answer
    x = 1,356.99

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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.