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Finding the Fourth Proportional to 3,156.04, 4,732.44 and 1,208

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Solution

The fourth proportional to 3,156.04, 4,732.44 and 1,208 is: 1,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.04 : 4,732.44 = 1,208 : x
  2. Step 2: Convert to fraction form
    3,156.04/4,732.44 = 1,208/x
  3. Step 3: Cross multiply
    3,156.04x = 4,732.44 × 1,208
  4. Step 4: Simplify right side
    3,156.04x = 5,716,787.52
  5. Step 5: Solve for x
    x = 5,716,787.52/3,156.04
  6. Step 6: Final answer
    x = 1,811.38

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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.