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Finding the Fourth Proportional to 1,958.68, 2,698.62 and 1,909.96

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Solution

The fourth proportional to 1,958.68, 2,698.62 and 1,909.96 is: 2,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.68 : 2,698.62 = 1,909.96 : x
  2. Step 2: Convert to fraction form
    1,958.68/2,698.62 = 1,909.96/x
  3. Step 3: Cross multiply
    1,958.68x = 2,698.62 × 1,909.96
  4. Step 4: Simplify right side
    1,958.68x = 5,154,256.26
  5. Step 5: Solve for x
    x = 5,154,256.26/1,958.68
  6. Step 6: Final answer
    x = 2,631.49

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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.