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Finding the Fourth Proportional to 3,390.56, 4,678.78 and 2,131.80

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Solution

The fourth proportional to 3,390.56, 4,678.78 and 2,131.80 is: 2,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.56 : 4,678.78 = 2,131.80 : x
  2. Step 2: Convert to fraction form
    3,390.56/4,678.78 = 2,131.80/x
  3. Step 3: Cross multiply
    3,390.56x = 4,678.78 × 2,131.80
  4. Step 4: Simplify right side
    3,390.56x = 9,974,223.20
  5. Step 5: Solve for x
    x = 9,974,223.20/3,390.56
  6. Step 6: Final answer
    x = 2,941.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.