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Finding the Fourth Proportional to 2,045.80, 3,068.72 and 747.64

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Solution

The fourth proportional to 2,045.80, 3,068.72 and 747.64 is: 1,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.80 : 3,068.72 = 747.64 : x
  2. Step 2: Convert to fraction form
    2,045.80/3,068.72 = 747.64/x
  3. Step 3: Cross multiply
    2,045.80x = 3,068.72 × 747.64
  4. Step 4: Simplify right side
    2,045.80x = 2,294,297.82
  5. Step 5: Solve for x
    x = 2,294,297.82/2,045.80
  6. Step 6: Final answer
    x = 1,121.47

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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.