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Finding the Fourth Proportional to 2,568.74, 3,852.44 and 924.98

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Solution

The fourth proportional to 2,568.74, 3,852.44 and 924.98 is: 1,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.74 : 3,852.44 = 924.98 : x
  2. Step 2: Convert to fraction form
    2,568.74/3,852.44 = 924.98/x
  3. Step 3: Cross multiply
    2,568.74x = 3,852.44 × 924.98
  4. Step 4: Simplify right side
    2,568.74x = 3,563,425.33
  5. Step 5: Solve for x
    x = 3,563,425.33/2,568.74
  6. Step 6: Final answer
    x = 1,387.23

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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.