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Finding the Fourth Proportional to 2,420.69, 3,340.55 and 1,426.58

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Solution

The fourth proportional to 2,420.69, 3,340.55 and 1,426.58 is: 1,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.69 : 3,340.55 = 1,426.58 : x
  2. Step 2: Convert to fraction form
    2,420.69/3,340.55 = 1,426.58/x
  3. Step 3: Cross multiply
    2,420.69x = 3,340.55 × 1,426.58
  4. Step 4: Simplify right side
    2,420.69x = 4,765,561.82
  5. Step 5: Solve for x
    x = 4,765,561.82/2,420.69
  6. Step 6: Final answer
    x = 1,968.68

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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.