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Finding the Fourth Proportional to 2,641.44, 3,646.86 and 1,697.67

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Solution

The fourth proportional to 2,641.44, 3,646.86 and 1,697.67 is: 2,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.44 : 3,646.86 = 1,697.67 : x
  2. Step 2: Convert to fraction form
    2,641.44/3,646.86 = 1,697.67/x
  3. Step 3: Cross multiply
    2,641.44x = 3,646.86 × 1,697.67
  4. Step 4: Simplify right side
    2,641.44x = 6,191,164.82
  5. Step 5: Solve for x
    x = 6,191,164.82/2,641.44
  6. Step 6: Final answer
    x = 2,343.86

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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.