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Finding the Fourth Proportional to 2,783.78, 4,174.96 and 1,140.02

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Solution

The fourth proportional to 2,783.78, 4,174.96 and 1,140.02 is: 1,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.78 : 4,174.96 = 1,140.02 : x
  2. Step 2: Convert to fraction form
    2,783.78/4,174.96 = 1,140.02/x
  3. Step 3: Cross multiply
    2,783.78x = 4,174.96 × 1,140.02
  4. Step 4: Simplify right side
    2,783.78x = 4,759,537.90
  5. Step 5: Solve for x
    x = 4,759,537.90/2,783.78
  6. Step 6: Final answer
    x = 1,709.74

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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.