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Finding the Fourth Proportional to 3,233.60, 4,846.80 and 1,384.40

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Solution

The fourth proportional to 3,233.60, 4,846.80 and 1,384.40 is: 2,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.60 : 4,846.80 = 1,384.40 : x
  2. Step 2: Convert to fraction form
    3,233.60/4,846.80 = 1,384.40/x
  3. Step 3: Cross multiply
    3,233.60x = 4,846.80 × 1,384.40
  4. Step 4: Simplify right side
    3,233.60x = 6,709,909.92
  5. Step 5: Solve for x
    x = 6,709,909.92/3,233.60
  6. Step 6: Final answer
    x = 2,075.06

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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.