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Finding the Fourth Proportional to 2,363.96, 3,546.63 and 977.37

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Solution

The fourth proportional to 2,363.96, 3,546.63 and 977.37 is: 1,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.96 : 3,546.63 = 977.37 : x
  2. Step 2: Convert to fraction form
    2,363.96/3,546.63 = 977.37/x
  3. Step 3: Cross multiply
    2,363.96x = 3,546.63 × 977.37
  4. Step 4: Simplify right side
    2,363.96x = 3,466,369.76
  5. Step 5: Solve for x
    x = 3,466,369.76/2,363.96
  6. Step 6: Final answer
    x = 1,466.34

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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.