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Finding the Fourth Proportional to 2,425.44, 3,347.53 and 1,834.95

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Solution

The fourth proportional to 2,425.44, 3,347.53 and 1,834.95 is: 2,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.44 : 3,347.53 = 1,834.95 : x
  2. Step 2: Convert to fraction form
    2,425.44/3,347.53 = 1,834.95/x
  3. Step 3: Cross multiply
    2,425.44x = 3,347.53 × 1,834.95
  4. Step 4: Simplify right side
    2,425.44x = 6,142,550.17
  5. Step 5: Solve for x
    x = 6,142,550.17/2,425.44
  6. Step 6: Final answer
    x = 2,532.55

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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.