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Finding the Fourth Proportional to 2,767.02, 3,818.94 and 1,648.02

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Solution

The fourth proportional to 2,767.02, 3,818.94 and 1,648.02 is: 2,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.02 : 3,818.94 = 1,648.02 : x
  2. Step 2: Convert to fraction form
    2,767.02/3,818.94 = 1,648.02/x
  3. Step 3: Cross multiply
    2,767.02x = 3,818.94 × 1,648.02
  4. Step 4: Simplify right side
    2,767.02x = 6,293,689.50
  5. Step 5: Solve for x
    x = 6,293,689.50/2,767.02
  6. Step 6: Final answer
    x = 2,274.54

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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.