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Finding the Fourth Proportional to 2,745.60, 3,789 and 1,566.72

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Solution

The fourth proportional to 2,745.60, 3,789 and 1,566.72 is: 2,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.60 : 3,789 = 1,566.72 : x
  2. Step 2: Convert to fraction form
    2,745.60/3,789 = 1,566.72/x
  3. Step 3: Cross multiply
    2,745.60x = 3,789 × 1,566.72
  4. Step 4: Simplify right side
    2,745.60x = 5,936,302.08
  5. Step 5: Solve for x
    x = 5,936,302.08/2,745.60
  6. Step 6: Final answer
    x = 2,162.11

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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.