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Finding the Fourth Proportional to 3,277.48, 4,919.06 and 1,697.30

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Solution

The fourth proportional to 3,277.48, 4,919.06 and 1,697.30 is: 2,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.48 : 4,919.06 = 1,697.30 : x
  2. Step 2: Convert to fraction form
    3,277.48/4,919.06 = 1,697.30/x
  3. Step 3: Cross multiply
    3,277.48x = 4,919.06 × 1,697.30
  4. Step 4: Simplify right side
    3,277.48x = 8,349,120.54
  5. Step 5: Solve for x
    x = 8,349,120.54/3,277.48
  6. Step 6: Final answer
    x = 2,547.42

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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.