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Finding the Fourth Proportional to 1,873.08, 2,809.74 and 777.12

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Solution

The fourth proportional to 1,873.08, 2,809.74 and 777.12 is: 1,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.08 : 2,809.74 = 777.12 : x
  2. Step 2: Convert to fraction form
    1,873.08/2,809.74 = 777.12/x
  3. Step 3: Cross multiply
    1,873.08x = 2,809.74 × 777.12
  4. Step 4: Simplify right side
    1,873.08x = 2,183,505.15
  5. Step 5: Solve for x
    x = 2,183,505.15/1,873.08
  6. Step 6: Final answer
    x = 1,165.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.