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Finding the Fourth Proportional to 2,342.41, 3,513.61 and 698.95

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Solution

The fourth proportional to 2,342.41, 3,513.61 and 698.95 is: 1,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.41 : 3,513.61 = 698.95 : x
  2. Step 2: Convert to fraction form
    2,342.41/3,513.61 = 698.95/x
  3. Step 3: Cross multiply
    2,342.41x = 3,513.61 × 698.95
  4. Step 4: Simplify right side
    2,342.41x = 2,455,837.71
  5. Step 5: Solve for x
    x = 2,455,837.71/2,342.41
  6. Step 6: Final answer
    x = 1,048.42

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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.