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Finding the Fourth Proportional to 2,046.10, 3,070.40 and 813.61

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Solution

The fourth proportional to 2,046.10, 3,070.40 and 813.61 is: 1,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.10 : 3,070.40 = 813.61 : x
  2. Step 2: Convert to fraction form
    2,046.10/3,070.40 = 813.61/x
  3. Step 3: Cross multiply
    2,046.10x = 3,070.40 × 813.61
  4. Step 4: Simplify right side
    2,046.10x = 2,498,118.40
  5. Step 5: Solve for x
    x = 2,498,118.40/2,046.10
  6. Step 6: Final answer
    x = 1,220.92

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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.