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Finding the Fourth Proportional to 2,237.05, 3,354.36 and 776.08

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Solution

The fourth proportional to 2,237.05, 3,354.36 and 776.08 is: 1,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.05 : 3,354.36 = 776.08 : x
  2. Step 2: Convert to fraction form
    2,237.05/3,354.36 = 776.08/x
  3. Step 3: Cross multiply
    2,237.05x = 3,354.36 × 776.08
  4. Step 4: Simplify right side
    2,237.05x = 2,603,251.71
  5. Step 5: Solve for x
    x = 2,603,251.71/2,237.05
  6. Step 6: Final answer
    x = 1,163.70

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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.