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Finding the Fourth Proportional to 1,568.21, 2,343.11 and 1,513.71

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Solution

The fourth proportional to 1,568.21, 2,343.11 and 1,513.71 is: 2,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.21 : 2,343.11 = 1,513.71 : x
  2. Step 2: Convert to fraction form
    1,568.21/2,343.11 = 1,513.71/x
  3. Step 3: Cross multiply
    1,568.21x = 2,343.11 × 1,513.71
  4. Step 4: Simplify right side
    1,568.21x = 3,546,781.47
  5. Step 5: Solve for x
    x = 3,546,781.47/1,568.21
  6. Step 6: Final answer
    x = 2,261.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.