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Finding the Fourth Proportional to 3,158.78, 4,359.02 and 1,980.50

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Solution

The fourth proportional to 3,158.78, 4,359.02 and 1,980.50 is: 2,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.78 : 4,359.02 = 1,980.50 : x
  2. Step 2: Convert to fraction form
    3,158.78/4,359.02 = 1,980.50/x
  3. Step 3: Cross multiply
    3,158.78x = 4,359.02 × 1,980.50
  4. Step 4: Simplify right side
    3,158.78x = 8,633,007.41
  5. Step 5: Solve for x
    x = 8,633,007.41/3,158.78
  6. Step 6: Final answer
    x = 2,733.02

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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.