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Finding the Fourth Proportional to 2,391.93, 3,585.16 and 1,297.22

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Solution

The fourth proportional to 2,391.93, 3,585.16 and 1,297.22 is: 1,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.93 : 3,585.16 = 1,297.22 : x
  2. Step 2: Convert to fraction form
    2,391.93/3,585.16 = 1,297.22/x
  3. Step 3: Cross multiply
    2,391.93x = 3,585.16 × 1,297.22
  4. Step 4: Simplify right side
    2,391.93x = 4,650,724.95
  5. Step 5: Solve for x
    x = 4,650,724.95/2,391.93
  6. Step 6: Final answer
    x = 1,944.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.