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Finding the Fourth Proportional to 3,104.80, 4,656.30 and 1,130.20

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Solution

The fourth proportional to 3,104.80, 4,656.30 and 1,130.20 is: 1,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.80 : 4,656.30 = 1,130.20 : x
  2. Step 2: Convert to fraction form
    3,104.80/4,656.30 = 1,130.20/x
  3. Step 3: Cross multiply
    3,104.80x = 4,656.30 × 1,130.20
  4. Step 4: Simplify right side
    3,104.80x = 5,262,550.26
  5. Step 5: Solve for x
    x = 5,262,550.26/3,104.80
  6. Step 6: Final answer
    x = 1,694.97

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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.