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Finding the Fourth Proportional to 2,542.39, 3,813.59 and 898.05

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Solution

The fourth proportional to 2,542.39, 3,813.59 and 898.05 is: 1,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.39 : 3,813.59 = 898.05 : x
  2. Step 2: Convert to fraction form
    2,542.39/3,813.59 = 898.05/x
  3. Step 3: Cross multiply
    2,542.39x = 3,813.59 × 898.05
  4. Step 4: Simplify right side
    2,542.39x = 3,424,794.50
  5. Step 5: Solve for x
    x = 3,424,794.50/2,542.39
  6. Step 6: Final answer
    x = 1,347.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.