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Finding the Fourth Proportional to 3,091.90, 4,636.92 and 1,630.26

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Solution

The fourth proportional to 3,091.90, 4,636.92 and 1,630.26 is: 2,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.90 : 4,636.92 = 1,630.26 : x
  2. Step 2: Convert to fraction form
    3,091.90/4,636.92 = 1,630.26/x
  3. Step 3: Cross multiply
    3,091.90x = 4,636.92 × 1,630.26
  4. Step 4: Simplify right side
    3,091.90x = 7,559,385.20
  5. Step 5: Solve for x
    x = 7,559,385.20/3,091.90
  6. Step 6: Final answer
    x = 2,444.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.