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Finding the Fourth Proportional to 1,945.06, 2,929.22 and 1,704.49

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Solution

The fourth proportional to 1,945.06, 2,929.22 and 1,704.49 is: 2,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.06 : 2,929.22 = 1,704.49 : x
  2. Step 2: Convert to fraction form
    1,945.06/2,929.22 = 1,704.49/x
  3. Step 3: Cross multiply
    1,945.06x = 2,929.22 × 1,704.49
  4. Step 4: Simplify right side
    1,945.06x = 4,992,826.20
  5. Step 5: Solve for x
    x = 4,992,826.20/1,945.06
  6. Step 6: Final answer
    x = 2,566.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.