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Finding the Fourth Proportional to 2,045.23, 3,069.23 and 746.83

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Solution

The fourth proportional to 2,045.23, 3,069.23 and 746.83 is: 1,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.23 : 3,069.23 = 746.83 : x
  2. Step 2: Convert to fraction form
    2,045.23/3,069.23 = 746.83/x
  3. Step 3: Cross multiply
    2,045.23x = 3,069.23 × 746.83
  4. Step 4: Simplify right side
    2,045.23x = 2,292,193.04
  5. Step 5: Solve for x
    x = 2,292,193.04/2,045.23
  6. Step 6: Final answer
    x = 1,120.75

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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.