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Finding the Fourth Proportional to 2,041.72, 3,063.59 and 809.10

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Solution

The fourth proportional to 2,041.72, 3,063.59 and 809.10 is: 1,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.72 : 3,063.59 = 809.10 : x
  2. Step 2: Convert to fraction form
    2,041.72/3,063.59 = 809.10/x
  3. Step 3: Cross multiply
    2,041.72x = 3,063.59 × 809.10
  4. Step 4: Simplify right side
    2,041.72x = 2,478,741.64
  5. Step 5: Solve for x
    x = 2,478,741.64/2,041.72
  6. Step 6: Final answer
    x = 1,214.05

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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.