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Finding the Fourth Proportional to 2,345.49, 3,236.58 and 1,297.58

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Solution

The fourth proportional to 2,345.49, 3,236.58 and 1,297.58 is: 1,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.49 : 3,236.58 = 1,297.58 : x
  2. Step 2: Convert to fraction form
    2,345.49/3,236.58 = 1,297.58/x
  3. Step 3: Cross multiply
    2,345.49x = 3,236.58 × 1,297.58
  4. Step 4: Simplify right side
    2,345.49x = 4,199,705.29
  5. Step 5: Solve for x
    x = 4,199,705.29/2,345.49
  6. Step 6: Final answer
    x = 1,790.54

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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.