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Finding the Fourth Proportional to 2,902.55, 4,007.36 and 1,909.49

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Solution

The fourth proportional to 2,902.55, 4,007.36 and 1,909.49 is: 2,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.55 : 4,007.36 = 1,909.49 : x
  2. Step 2: Convert to fraction form
    2,902.55/4,007.36 = 1,909.49/x
  3. Step 3: Cross multiply
    2,902.55x = 4,007.36 × 1,909.49
  4. Step 4: Simplify right side
    2,902.55x = 7,651,984.26
  5. Step 5: Solve for x
    x = 7,651,984.26/2,902.55
  6. Step 6: Final answer
    x = 2,636.30

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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.