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Finding the Fourth Proportional to 2,402.26, 3,313.91 and 1,407.38

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Solution

The fourth proportional to 2,402.26, 3,313.91 and 1,407.38 is: 1,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.26 : 3,313.91 = 1,407.38 : x
  2. Step 2: Convert to fraction form
    2,402.26/3,313.91 = 1,407.38/x
  3. Step 3: Cross multiply
    2,402.26x = 3,313.91 × 1,407.38
  4. Step 4: Simplify right side
    2,402.26x = 4,663,917.60
  5. Step 5: Solve for x
    x = 4,663,917.60/2,402.26
  6. Step 6: Final answer
    x = 1,941.47

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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.