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Finding the Fourth Proportional to 3,448.41, 5,170.72 and 1,598.51

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Solution

The fourth proportional to 3,448.41, 5,170.72 and 1,598.51 is: 2,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.41 : 5,170.72 = 1,598.51 : x
  2. Step 2: Convert to fraction form
    3,448.41/5,170.72 = 1,598.51/x
  3. Step 3: Cross multiply
    3,448.41x = 5,170.72 × 1,598.51
  4. Step 4: Simplify right side
    3,448.41x = 8,265,417.78
  5. Step 5: Solve for x
    x = 8,265,417.78/3,448.41
  6. Step 6: Final answer
    x = 2,396.88

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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.