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Finding the Fourth Proportional to 2,650.98, 3,973.48 and 1,263.18

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Solution

The fourth proportional to 2,650.98, 3,973.48 and 1,263.18 is: 1,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.98 : 3,973.48 = 1,263.18 : x
  2. Step 2: Convert to fraction form
    2,650.98/3,973.48 = 1,263.18/x
  3. Step 3: Cross multiply
    2,650.98x = 3,973.48 × 1,263.18
  4. Step 4: Simplify right side
    2,650.98x = 5,019,220.47
  5. Step 5: Solve for x
    x = 5,019,220.47/2,650.98
  6. Step 6: Final answer
    x = 1,893.35

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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.