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Finding the Fourth Proportional to 2,070.93, 3,105.72 and 684.01

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Solution

The fourth proportional to 2,070.93, 3,105.72 and 684.01 is: 1,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.93 : 3,105.72 = 684.01 : x
  2. Step 2: Convert to fraction form
    2,070.93/3,105.72 = 684.01/x
  3. Step 3: Cross multiply
    2,070.93x = 3,105.72 × 684.01
  4. Step 4: Simplify right side
    2,070.93x = 2,124,343.54
  5. Step 5: Solve for x
    x = 2,124,343.54/2,070.93
  6. Step 6: Final answer
    x = 1,025.79

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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.