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Finding the Fourth Proportional to 2,883.90, 4,327.22 and 1,496.50

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Solution

The fourth proportional to 2,883.90, 4,327.22 and 1,496.50 is: 2,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.90 : 4,327.22 = 1,496.50 : x
  2. Step 2: Convert to fraction form
    2,883.90/4,327.22 = 1,496.50/x
  3. Step 3: Cross multiply
    2,883.90x = 4,327.22 × 1,496.50
  4. Step 4: Simplify right side
    2,883.90x = 6,475,655.61
  5. Step 5: Solve for x
    x = 6,475,655.61/2,883.90
  6. Step 6: Final answer
    x = 2,245.45

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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.