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Finding the Fourth Proportional to 2,345.05, 3,235.93 and 1,297.05

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Solution

The fourth proportional to 2,345.05, 3,235.93 and 1,297.05 is: 1,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.05 : 3,235.93 = 1,297.05 : x
  2. Step 2: Convert to fraction form
    2,345.05/3,235.93 = 1,297.05/x
  3. Step 3: Cross multiply
    2,345.05x = 3,235.93 × 1,297.05
  4. Step 4: Simplify right side
    2,345.05x = 4,197,163.01
  5. Step 5: Solve for x
    x = 4,197,163.01/2,345.05
  6. Step 6: Final answer
    x = 1,789.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.