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Finding the Fourth Proportional to 1,777.72, 2,667.15 and 790.39

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Solution

The fourth proportional to 1,777.72, 2,667.15 and 790.39 is: 1,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.72 : 2,667.15 = 790.39 : x
  2. Step 2: Convert to fraction form
    1,777.72/2,667.15 = 790.39/x
  3. Step 3: Cross multiply
    1,777.72x = 2,667.15 × 790.39
  4. Step 4: Simplify right side
    1,777.72x = 2,108,088.69
  5. Step 5: Solve for x
    x = 2,108,088.69/1,777.72
  6. Step 6: Final answer
    x = 1,185.84

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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.