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Finding the Fourth Proportional to 2,128.72, 3,188.46 and 1,030.78

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Solution

The fourth proportional to 2,128.72, 3,188.46 and 1,030.78 is: 1,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.72 : 3,188.46 = 1,030.78 : x
  2. Step 2: Convert to fraction form
    2,128.72/3,188.46 = 1,030.78/x
  3. Step 3: Cross multiply
    2,128.72x = 3,188.46 × 1,030.78
  4. Step 4: Simplify right side
    2,128.72x = 3,286,608.65
  5. Step 5: Solve for x
    x = 3,286,608.65/2,128.72
  6. Step 6: Final answer
    x = 1,543.94

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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.