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Finding the Fourth Proportional to 2,128.96, 3,191.52 and 760.64

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Solution

The fourth proportional to 2,128.96, 3,191.52 and 760.64 is: 1,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.96 : 3,191.52 = 760.64 : x
  2. Step 2: Convert to fraction form
    2,128.96/3,191.52 = 760.64/x
  3. Step 3: Cross multiply
    2,128.96x = 3,191.52 × 760.64
  4. Step 4: Simplify right side
    2,128.96x = 2,427,597.77
  5. Step 5: Solve for x
    x = 2,427,597.77/2,128.96
  6. Step 6: Final answer
    x = 1,140.27

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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.