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Finding the Fourth Proportional to 2,903.64, 4,355.76 and 1,922.83

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Solution

The fourth proportional to 2,903.64, 4,355.76 and 1,922.83 is: 2,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.64 : 4,355.76 = 1,922.83 : x
  2. Step 2: Convert to fraction form
    2,903.64/4,355.76 = 1,922.83/x
  3. Step 3: Cross multiply
    2,903.64x = 4,355.76 × 1,922.83
  4. Step 4: Simplify right side
    2,903.64x = 8,375,386.00
  5. Step 5: Solve for x
    x = 8,375,386.00/2,903.64
  6. Step 6: Final answer
    x = 2,884.44

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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.