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Finding the Fourth Proportional to 2,083.46, 2,875.44 and 1,297.64

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Solution

The fourth proportional to 2,083.46, 2,875.44 and 1,297.64 is: 1,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.46 : 2,875.44 = 1,297.64 : x
  2. Step 2: Convert to fraction form
    2,083.46/2,875.44 = 1,297.64/x
  3. Step 3: Cross multiply
    2,083.46x = 2,875.44 × 1,297.64
  4. Step 4: Simplify right side
    2,083.46x = 3,731,285.96
  5. Step 5: Solve for x
    x = 3,731,285.96/2,083.46
  6. Step 6: Final answer
    x = 1,790.91

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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.