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Finding the Fourth Proportional to 3,454.96, 4,767.78 and 1,883.02

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Solution

The fourth proportional to 3,454.96, 4,767.78 and 1,883.02 is: 2,598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.96 : 4,767.78 = 1,883.02 : x
  2. Step 2: Convert to fraction form
    3,454.96/4,767.78 = 1,883.02/x
  3. Step 3: Cross multiply
    3,454.96x = 4,767.78 × 1,883.02
  4. Step 4: Simplify right side
    3,454.96x = 8,977,825.10
  5. Step 5: Solve for x
    x = 8,977,825.10/3,454.96
  6. Step 6: Final answer
    x = 2,598.53

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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.