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Finding the Fourth Proportional to 2,971.64, 4,100.37 and 1,909.64

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Solution

The fourth proportional to 2,971.64, 4,100.37 and 1,909.64 is: 2,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.64 : 4,100.37 = 1,909.64 : x
  2. Step 2: Convert to fraction form
    2,971.64/4,100.37 = 1,909.64/x
  3. Step 3: Cross multiply
    2,971.64x = 4,100.37 × 1,909.64
  4. Step 4: Simplify right side
    2,971.64x = 7,830,230.57
  5. Step 5: Solve for x
    x = 7,830,230.57/2,971.64
  6. Step 6: Final answer
    x = 2,634.99

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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.