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Finding the Fourth Proportional to 2,444.85, 3,667.28 and 595.97

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Solution

The fourth proportional to 2,444.85, 3,667.28 and 595.97 is: 893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.85 : 3,667.28 = 595.97 : x
  2. Step 2: Convert to fraction form
    2,444.85/3,667.28 = 595.97/x
  3. Step 3: Cross multiply
    2,444.85x = 3,667.28 × 595.97
  4. Step 4: Simplify right side
    2,444.85x = 2,185,567.55
  5. Step 5: Solve for x
    x = 2,185,567.55/2,444.85
  6. Step 6: Final answer
    x = 893.95

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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.