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Finding the Fourth Proportional to 2,224.90, 3,337.80 and 764.20

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Solution

The fourth proportional to 2,224.90, 3,337.80 and 764.20 is: 1,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.90 : 3,337.80 = 764.20 : x
  2. Step 2: Convert to fraction form
    2,224.90/3,337.80 = 764.20/x
  3. Step 3: Cross multiply
    2,224.90x = 3,337.80 × 764.20
  4. Step 4: Simplify right side
    2,224.90x = 2,550,746.76
  5. Step 5: Solve for x
    x = 2,550,746.76/2,224.90
  6. Step 6: Final answer
    x = 1,146.45

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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.