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Finding the Fourth Proportional to 2,978.94, 4,114.90 and 2,483.22

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Solution

The fourth proportional to 2,978.94, 4,114.90 and 2,483.22 is: 3,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.94 : 4,114.90 = 2,483.22 : x
  2. Step 2: Convert to fraction form
    2,978.94/4,114.90 = 2,483.22/x
  3. Step 3: Cross multiply
    2,978.94x = 4,114.90 × 2,483.22
  4. Step 4: Simplify right side
    2,978.94x = 10,218,201.98
  5. Step 5: Solve for x
    x = 10,218,201.98/2,978.94
  6. Step 6: Final answer
    x = 3,430.15

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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.