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Finding the Fourth Proportional to 2,230.00, 3,077.53 and 1,235.39

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Solution

The fourth proportional to 2,230.00, 3,077.53 and 1,235.39 is: 1,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.00 : 3,077.53 = 1,235.39 : x
  2. Step 2: Convert to fraction form
    2,230.00/3,077.53 = 1,235.39/x
  3. Step 3: Cross multiply
    2,230.00x = 3,077.53 × 1,235.39
  4. Step 4: Simplify right side
    2,230.00x = 3,801,931.31
  5. Step 5: Solve for x
    x = 3,801,931.31/2,230.00
  6. Step 6: Final answer
    x = 1,704.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.