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Finding the Fourth Proportional to 2,362.96, 3,544.44 and 631.59

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Solution

The fourth proportional to 2,362.96, 3,544.44 and 631.59 is: 947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.96 : 3,544.44 = 631.59 : x
  2. Step 2: Convert to fraction form
    2,362.96/3,544.44 = 631.59/x
  3. Step 3: Cross multiply
    2,362.96x = 3,544.44 × 631.59
  4. Step 4: Simplify right side
    2,362.96x = 2,238,616.72
  5. Step 5: Solve for x
    x = 2,238,616.72/2,362.96
  6. Step 6: Final answer
    x = 947.38

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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.