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Finding the Fourth Proportional to 2,568.40, 3,850.29 and 924.56

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Solution

The fourth proportional to 2,568.40, 3,850.29 and 924.56 is: 1,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.40 : 3,850.29 = 924.56 : x
  2. Step 2: Convert to fraction form
    2,568.40/3,850.29 = 924.56/x
  3. Step 3: Cross multiply
    2,568.40x = 3,850.29 × 924.56
  4. Step 4: Simplify right side
    2,568.40x = 3,559,824.12
  5. Step 5: Solve for x
    x = 3,559,824.12/2,568.40
  6. Step 6: Final answer
    x = 1,386.01

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Why These Related Problems?

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