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Finding the Fourth Proportional to 2,848.41, 4,272.84 and 900.59

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Solution

The fourth proportional to 2,848.41, 4,272.84 and 900.59 is: 1,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.41 : 4,272.84 = 900.59 : x
  2. Step 2: Convert to fraction form
    2,848.41/4,272.84 = 900.59/x
  3. Step 3: Cross multiply
    2,848.41x = 4,272.84 × 900.59
  4. Step 4: Simplify right side
    2,848.41x = 3,848,055.61
  5. Step 5: Solve for x
    x = 3,848,055.61/2,848.41
  6. Step 6: Final answer
    x = 1,350.95

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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.