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Finding the Fourth Proportional to 2,330.01, 3,214 and 1,433.90

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Solution

The fourth proportional to 2,330.01, 3,214 and 1,433.90 is: 1,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.01 : 3,214 = 1,433.90 : x
  2. Step 2: Convert to fraction form
    2,330.01/3,214 = 1,433.90/x
  3. Step 3: Cross multiply
    2,330.01x = 3,214 × 1,433.90
  4. Step 4: Simplify right side
    2,330.01x = 4,608,554.60
  5. Step 5: Solve for x
    x = 4,608,554.60/2,330.01
  6. Step 6: Final answer
    x = 1,977.91

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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.