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Finding the Fourth Proportional to 1,395.36, 2,092.98 and 355.38

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Solution

The fourth proportional to 1,395.36, 2,092.98 and 355.38 is: 533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.36 : 2,092.98 = 355.38 : x
  2. Step 2: Convert to fraction form
    1,395.36/2,092.98 = 355.38/x
  3. Step 3: Cross multiply
    1,395.36x = 2,092.98 × 355.38
  4. Step 4: Simplify right side
    1,395.36x = 743,803.23
  5. Step 5: Solve for x
    x = 743,803.23/1,395.36
  6. Step 6: Final answer
    x = 533.05

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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.