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Finding the Fourth Proportional to 2,978.25, 4,110.03 and 1,633.98

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Solution

The fourth proportional to 2,978.25, 4,110.03 and 1,633.98 is: 2,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.25 : 4,110.03 = 1,633.98 : x
  2. Step 2: Convert to fraction form
    2,978.25/4,110.03 = 1,633.98/x
  3. Step 3: Cross multiply
    2,978.25x = 4,110.03 × 1,633.98
  4. Step 4: Simplify right side
    2,978.25x = 6,715,678.10
  5. Step 5: Solve for x
    x = 6,715,678.10/2,978.25
  6. Step 6: Final answer
    x = 2,254.91

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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.