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Finding the Fourth Proportional to 2,345.76, 3,237.20 and 1,297.84

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Solution

The fourth proportional to 2,345.76, 3,237.20 and 1,297.84 is: 1,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.76 : 3,237.20 = 1,297.84 : x
  2. Step 2: Convert to fraction form
    2,345.76/3,237.20 = 1,297.84/x
  3. Step 3: Cross multiply
    2,345.76x = 3,237.20 × 1,297.84
  4. Step 4: Simplify right side
    2,345.76x = 4,201,367.65
  5. Step 5: Solve for x
    x = 4,201,367.65/2,345.76
  6. Step 6: Final answer
    x = 1,791.05

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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.