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Finding the Fourth Proportional to 2,807.82, 3,873.06 and 1,746.18

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Solution

The fourth proportional to 2,807.82, 3,873.06 and 1,746.18 is: 2,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.82 : 3,873.06 = 1,746.18 : x
  2. Step 2: Convert to fraction form
    2,807.82/3,873.06 = 1,746.18/x
  3. Step 3: Cross multiply
    2,807.82x = 3,873.06 × 1,746.18
  4. Step 4: Simplify right side
    2,807.82x = 6,763,059.91
  5. Step 5: Solve for x
    x = 6,763,059.91/2,807.82
  6. Step 6: Final answer
    x = 2,408.65

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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.