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Finding the Fourth Proportional to 2,128.61, 3,190.85 and 1,017.74

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Solution

The fourth proportional to 2,128.61, 3,190.85 and 1,017.74 is: 1,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.61 : 3,190.85 = 1,017.74 : x
  2. Step 2: Convert to fraction form
    2,128.61/3,190.85 = 1,017.74/x
  3. Step 3: Cross multiply
    2,128.61x = 3,190.85 × 1,017.74
  4. Step 4: Simplify right side
    2,128.61x = 3,247,461.44
  5. Step 5: Solve for x
    x = 3,247,461.44/2,128.61
  6. Step 6: Final answer
    x = 1,525.62

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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.