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Finding the Fourth Proportional to 2,414.86, 3,332.26 and 1,420.38

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Solution

The fourth proportional to 2,414.86, 3,332.26 and 1,420.38 is: 1,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.86 : 3,332.26 = 1,420.38 : x
  2. Step 2: Convert to fraction form
    2,414.86/3,332.26 = 1,420.38/x
  3. Step 3: Cross multiply
    2,414.86x = 3,332.26 × 1,420.38
  4. Step 4: Simplify right side
    2,414.86x = 4,733,071.91
  5. Step 5: Solve for x
    x = 4,733,071.91/2,414.86
  6. Step 6: Final answer
    x = 1,959.98

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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.