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Finding the Fourth Proportional to 2,334.48, 3,494.42 and 1,746

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Solution

The fourth proportional to 2,334.48, 3,494.42 and 1,746 is: 2,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.48 : 3,494.42 = 1,746 : x
  2. Step 2: Convert to fraction form
    2,334.48/3,494.42 = 1,746/x
  3. Step 3: Cross multiply
    2,334.48x = 3,494.42 × 1,746
  4. Step 4: Simplify right side
    2,334.48x = 6,101,257.32
  5. Step 5: Solve for x
    x = 6,101,257.32/2,334.48
  6. Step 6: Final answer
    x = 2,613.54

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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.