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Finding the Fourth Proportional to 2,065.17, 3,097.77 and 505.20

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Solution

The fourth proportional to 2,065.17, 3,097.77 and 505.20 is: 757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.17 : 3,097.77 = 505.20 : x
  2. Step 2: Convert to fraction form
    2,065.17/3,097.77 = 505.20/x
  3. Step 3: Cross multiply
    2,065.17x = 3,097.77 × 505.20
  4. Step 4: Simplify right side
    2,065.17x = 1,564,993.40
  5. Step 5: Solve for x
    x = 1,564,993.40/2,065.17
  6. Step 6: Final answer
    x = 757.80

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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.