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Finding the Fourth Proportional to 2,047.61, 3,064.77 and 1,120.84

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Solution

The fourth proportional to 2,047.61, 3,064.77 and 1,120.84 is: 1,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.61 : 3,064.77 = 1,120.84 : x
  2. Step 2: Convert to fraction form
    2,047.61/3,064.77 = 1,120.84/x
  3. Step 3: Cross multiply
    2,047.61x = 3,064.77 × 1,120.84
  4. Step 4: Simplify right side
    2,047.61x = 3,435,109.14
  5. Step 5: Solve for x
    x = 3,435,109.14/2,047.61
  6. Step 6: Final answer
    x = 1,677.62

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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.