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Finding the Fourth Proportional to 2,045.48, 3,068.67 and 746.94

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Solution

The fourth proportional to 2,045.48, 3,068.67 and 746.94 is: 1,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.48 : 3,068.67 = 746.94 : x
  2. Step 2: Convert to fraction form
    2,045.48/3,068.67 = 746.94/x
  3. Step 3: Cross multiply
    2,045.48x = 3,068.67 × 746.94
  4. Step 4: Simplify right side
    2,045.48x = 2,292,112.37
  5. Step 5: Solve for x
    x = 2,292,112.37/2,045.48
  6. Step 6: Final answer
    x = 1,120.57

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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.