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Finding the Fourth Proportional to 2,522.06, 3,783.70 and 790.69

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Solution

The fourth proportional to 2,522.06, 3,783.70 and 790.69 is: 1,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.06 : 3,783.70 = 790.69 : x
  2. Step 2: Convert to fraction form
    2,522.06/3,783.70 = 790.69/x
  3. Step 3: Cross multiply
    2,522.06x = 3,783.70 × 790.69
  4. Step 4: Simplify right side
    2,522.06x = 2,991,726.27
  5. Step 5: Solve for x
    x = 2,991,726.27/2,522.06
  6. Step 6: Final answer
    x = 1,186.22

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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.