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Finding the Fourth Proportional to 2,739.74, 4,103.02 and 1,566.19

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Solution

The fourth proportional to 2,739.74, 4,103.02 and 1,566.19 is: 2,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.74 : 4,103.02 = 1,566.19 : x
  2. Step 2: Convert to fraction form
    2,739.74/4,103.02 = 1,566.19/x
  3. Step 3: Cross multiply
    2,739.74x = 4,103.02 × 1,566.19
  4. Step 4: Simplify right side
    2,739.74x = 6,426,092.90
  5. Step 5: Solve for x
    x = 6,426,092.90/2,739.74
  6. Step 6: Final answer
    x = 2,345.51

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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.