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Finding the Fourth Proportional to 2,848.94, 4,272.94 and 2,024.72

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Solution

The fourth proportional to 2,848.94, 4,272.94 and 2,024.72 is: 3,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.94 : 4,272.94 = 2,024.72 : x
  2. Step 2: Convert to fraction form
    2,848.94/4,272.94 = 2,024.72/x
  3. Step 3: Cross multiply
    2,848.94x = 4,272.94 × 2,024.72
  4. Step 4: Simplify right side
    2,848.94x = 8,651,507.08
  5. Step 5: Solve for x
    x = 8,651,507.08/2,848.94
  6. Step 6: Final answer
    x = 3,036.75

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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.