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Finding the Fourth Proportional to 2,345.16, 3,236.16 and 1,297.26

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Solution

The fourth proportional to 2,345.16, 3,236.16 and 1,297.26 is: 1,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.16 : 3,236.16 = 1,297.26 : x
  2. Step 2: Convert to fraction form
    2,345.16/3,236.16 = 1,297.26/x
  3. Step 3: Cross multiply
    2,345.16x = 3,236.16 × 1,297.26
  4. Step 4: Simplify right side
    2,345.16x = 4,198,140.92
  5. Step 5: Solve for x
    x = 4,198,140.92/2,345.16
  6. Step 6: Final answer
    x = 1,790.13

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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.