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Finding the Fourth Proportional to 2,570.33, 3,856.67 and 1,253.36

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Solution

The fourth proportional to 2,570.33, 3,856.67 and 1,253.36 is: 1,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.33 : 3,856.67 = 1,253.36 : x
  2. Step 2: Convert to fraction form
    2,570.33/3,856.67 = 1,253.36/x
  3. Step 3: Cross multiply
    2,570.33x = 3,856.67 × 1,253.36
  4. Step 4: Simplify right side
    2,570.33x = 4,833,795.91
  5. Step 5: Solve for x
    x = 4,833,795.91/2,570.33
  6. Step 6: Final answer
    x = 1,880.61

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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.