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Finding the Fourth Proportional to 2,237.44, 3,354.72 and 776.70

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Solution

The fourth proportional to 2,237.44, 3,354.72 and 776.70 is: 1,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.44 : 3,354.72 = 776.70 : x
  2. Step 2: Convert to fraction form
    2,237.44/3,354.72 = 776.70/x
  3. Step 3: Cross multiply
    2,237.44x = 3,354.72 × 776.70
  4. Step 4: Simplify right side
    2,237.44x = 2,605,611.02
  5. Step 5: Solve for x
    x = 2,605,611.02/2,237.44
  6. Step 6: Final answer
    x = 1,164.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.