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Finding the Fourth Proportional to 1,777.81, 2,667.05 and 803.91

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Solution

The fourth proportional to 1,777.81, 2,667.05 and 803.91 is: 1,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.81 : 2,667.05 = 803.91 : x
  2. Step 2: Convert to fraction form
    1,777.81/2,667.05 = 803.91/x
  3. Step 3: Cross multiply
    1,777.81x = 2,667.05 × 803.91
  4. Step 4: Simplify right side
    1,777.81x = 2,144,070.18
  5. Step 5: Solve for x
    x = 2,144,070.18/1,777.81
  6. Step 6: Final answer
    x = 1,206.02

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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.