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Finding the Fourth Proportional to 2,365.36, 3,548.28 and 634

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Solution

The fourth proportional to 2,365.36, 3,548.28 and 634 is: 951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.36 : 3,548.28 = 634 : x
  2. Step 2: Convert to fraction form
    2,365.36/3,548.28 = 634/x
  3. Step 3: Cross multiply
    2,365.36x = 3,548.28 × 634
  4. Step 4: Simplify right side
    2,365.36x = 2,249,609.52
  5. Step 5: Solve for x
    x = 2,249,609.52/2,365.36
  6. Step 6: Final answer
    x = 951.06

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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.