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Finding the Fourth Proportional to 3,216.66, 4,821.14 and 1,657.41

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Solution

The fourth proportional to 3,216.66, 4,821.14 and 1,657.41 is: 2,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.66 : 4,821.14 = 1,657.41 : x
  2. Step 2: Convert to fraction form
    3,216.66/4,821.14 = 1,657.41/x
  3. Step 3: Cross multiply
    3,216.66x = 4,821.14 × 1,657.41
  4. Step 4: Simplify right side
    3,216.66x = 7,990,597.36
  5. Step 5: Solve for x
    x = 7,990,597.36/3,216.66
  6. Step 6: Final answer
    x = 2,484.13

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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.