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Finding the Fourth Proportional to 2,782.72, 4,174.08 and 1,117.60

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Solution

The fourth proportional to 2,782.72, 4,174.08 and 1,117.60 is: 1,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.72 : 4,174.08 = 1,117.60 : x
  2. Step 2: Convert to fraction form
    2,782.72/4,174.08 = 1,117.60/x
  3. Step 3: Cross multiply
    2,782.72x = 4,174.08 × 1,117.60
  4. Step 4: Simplify right side
    2,782.72x = 4,664,951.81
  5. Step 5: Solve for x
    x = 4,664,951.81/2,782.72
  6. Step 6: Final answer
    x = 1,676.40

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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.