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Finding the Fourth Proportional to 2,345.74, 3,237.06 and 1,297.78

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Solution

The fourth proportional to 2,345.74, 3,237.06 and 1,297.78 is: 1,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.74 : 3,237.06 = 1,297.78 : x
  2. Step 2: Convert to fraction form
    2,345.74/3,237.06 = 1,297.78/x
  3. Step 3: Cross multiply
    2,345.74x = 3,237.06 × 1,297.78
  4. Step 4: Simplify right side
    2,345.74x = 4,200,991.73
  5. Step 5: Solve for x
    x = 4,200,991.73/2,345.74
  6. Step 6: Final answer
    x = 1,790.90

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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.