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Finding the Fourth Proportional to 2,455.42, 3,389.74 and 1,894.63

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Solution

The fourth proportional to 2,455.42, 3,389.74 and 1,894.63 is: 2,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.42 : 3,389.74 = 1,894.63 : x
  2. Step 2: Convert to fraction form
    2,455.42/3,389.74 = 1,894.63/x
  3. Step 3: Cross multiply
    2,455.42x = 3,389.74 × 1,894.63
  4. Step 4: Simplify right side
    2,455.42x = 6,422,293.62
  5. Step 5: Solve for x
    x = 6,422,293.62/2,455.42
  6. Step 6: Final answer
    x = 2,615.56

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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.