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Finding the Fourth Proportional to 1,909.54, 2,633.61 and 1,615.78

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Solution

The fourth proportional to 1,909.54, 2,633.61 and 1,615.78 is: 2,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.54 : 2,633.61 = 1,615.78 : x
  2. Step 2: Convert to fraction form
    1,909.54/2,633.61 = 1,615.78/x
  3. Step 3: Cross multiply
    1,909.54x = 2,633.61 × 1,615.78
  4. Step 4: Simplify right side
    1,909.54x = 4,255,334.37
  5. Step 5: Solve for x
    x = 4,255,334.37/1,909.54
  6. Step 6: Final answer
    x = 2,228.46

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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.