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Finding the Fourth Proportional to 2,643.22, 3,647.46 and 1,711.72

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Solution

The fourth proportional to 2,643.22, 3,647.46 and 1,711.72 is: 2,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.22 : 3,647.46 = 1,711.72 : x
  2. Step 2: Convert to fraction form
    2,643.22/3,647.46 = 1,711.72/x
  3. Step 3: Cross multiply
    2,643.22x = 3,647.46 × 1,711.72
  4. Step 4: Simplify right side
    2,643.22x = 6,243,430.23
  5. Step 5: Solve for x
    x = 6,243,430.23/2,643.22
  6. Step 6: Final answer
    x = 2,362.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.