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Finding the Fourth Proportional to 2,969.86, 4,098.25 and 1,643.35

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Solution

The fourth proportional to 2,969.86, 4,098.25 and 1,643.35 is: 2,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.86 : 4,098.25 = 1,643.35 : x
  2. Step 2: Convert to fraction form
    2,969.86/4,098.25 = 1,643.35/x
  3. Step 3: Cross multiply
    2,969.86x = 4,098.25 × 1,643.35
  4. Step 4: Simplify right side
    2,969.86x = 6,734,859.14
  5. Step 5: Solve for x
    x = 6,734,859.14/2,969.86
  6. Step 6: Final answer
    x = 2,267.74

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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.