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Finding the Fourth Proportional to 2,045.71, 3,068.26 and 746.88

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Solution

The fourth proportional to 2,045.71, 3,068.26 and 746.88 is: 1,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.71 : 3,068.26 = 746.88 : x
  2. Step 2: Convert to fraction form
    2,045.71/3,068.26 = 746.88/x
  3. Step 3: Cross multiply
    2,045.71x = 3,068.26 × 746.88
  4. Step 4: Simplify right side
    2,045.71x = 2,291,622.03
  5. Step 5: Solve for x
    x = 2,291,622.03/2,045.71
  6. Step 6: Final answer
    x = 1,120.21

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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.