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Finding the Fourth Proportional to 2,903.27, 4,350.98 and 1,583.78

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Solution

The fourth proportional to 2,903.27, 4,350.98 and 1,583.78 is: 2,373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.27 : 4,350.98 = 1,583.78 : x
  2. Step 2: Convert to fraction form
    2,903.27/4,350.98 = 1,583.78/x
  3. Step 3: Cross multiply
    2,903.27x = 4,350.98 × 1,583.78
  4. Step 4: Simplify right side
    2,903.27x = 6,890,977.31
  5. Step 5: Solve for x
    x = 6,890,977.31/2,903.27
  6. Step 6: Final answer
    x = 2,373.53

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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.