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Finding the Fourth Proportional to 2,859.48, 4,288.86 and 1,215.72

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Solution

The fourth proportional to 2,859.48, 4,288.86 and 1,215.72 is: 1,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.48 : 4,288.86 = 1,215.72 : x
  2. Step 2: Convert to fraction form
    2,859.48/4,288.86 = 1,215.72/x
  3. Step 3: Cross multiply
    2,859.48x = 4,288.86 × 1,215.72
  4. Step 4: Simplify right side
    2,859.48x = 5,214,052.88
  5. Step 5: Solve for x
    x = 5,214,052.88/2,859.48
  6. Step 6: Final answer
    x = 1,823.43

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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.