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Finding the Fourth Proportional to 2,568.42, 3,852.72 and 924.53

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Solution

The fourth proportional to 2,568.42, 3,852.72 and 924.53 is: 1,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.42 : 3,852.72 = 924.53 : x
  2. Step 2: Convert to fraction form
    2,568.42/3,852.72 = 924.53/x
  3. Step 3: Cross multiply
    2,568.42x = 3,852.72 × 924.53
  4. Step 4: Simplify right side
    2,568.42x = 3,561,935.96
  5. Step 5: Solve for x
    x = 3,561,935.96/2,568.42
  6. Step 6: Final answer
    x = 1,386.82

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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.