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Finding the Fourth Proportional to 1,911.16, 2,854.12 and 1,651.68

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Solution

The fourth proportional to 1,911.16, 2,854.12 and 1,651.68 is: 2,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.16 : 2,854.12 = 1,651.68 : x
  2. Step 2: Convert to fraction form
    1,911.16/2,854.12 = 1,651.68/x
  3. Step 3: Cross multiply
    1,911.16x = 2,854.12 × 1,651.68
  4. Step 4: Simplify right side
    1,911.16x = 4,714,092.92
  5. Step 5: Solve for x
    x = 4,714,092.92/1,911.16
  6. Step 6: Final answer
    x = 2,466.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.