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Finding the Fourth Proportional to 2,017.89, 3,012.05 and 1,784.61

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Solution

The fourth proportional to 2,017.89, 3,012.05 and 1,784.61 is: 2,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.89 : 3,012.05 = 1,784.61 : x
  2. Step 2: Convert to fraction form
    2,017.89/3,012.05 = 1,784.61/x
  3. Step 3: Cross multiply
    2,017.89x = 3,012.05 × 1,784.61
  4. Step 4: Simplify right side
    2,017.89x = 5,375,339.01
  5. Step 5: Solve for x
    x = 5,375,339.01/2,017.89
  6. Step 6: Final answer
    x = 2,663.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.