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Finding the Fourth Proportional to 2,030.72, 3,047.83 and 1,797.14

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Solution

The fourth proportional to 2,030.72, 3,047.83 and 1,797.14 is: 2,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.72 : 3,047.83 = 1,797.14 : x
  2. Step 2: Convert to fraction form
    2,030.72/3,047.83 = 1,797.14/x
  3. Step 3: Cross multiply
    2,030.72x = 3,047.83 × 1,797.14
  4. Step 4: Simplify right side
    2,030.72x = 5,477,363.19
  5. Step 5: Solve for x
    x = 5,477,363.19/2,030.72
  6. Step 6: Final answer
    x = 2,697.25

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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.