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Finding the Fourth Proportional to 3,232.95, 4,461.47 and 1,816.64

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Solution

The fourth proportional to 3,232.95, 4,461.47 and 1,816.64 is: 2,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.95 : 4,461.47 = 1,816.64 : x
  2. Step 2: Convert to fraction form
    3,232.95/4,461.47 = 1,816.64/x
  3. Step 3: Cross multiply
    3,232.95x = 4,461.47 × 1,816.64
  4. Step 4: Simplify right side
    3,232.95x = 8,104,874.68
  5. Step 5: Solve for x
    x = 8,104,874.68/3,232.95
  6. Step 6: Final answer
    x = 2,506.96

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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.