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Finding the Fourth Proportional to 3,193.84, 4,790.44 and 1,113.64

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Solution

The fourth proportional to 3,193.84, 4,790.44 and 1,113.64 is: 1,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.84 : 4,790.44 = 1,113.64 : x
  2. Step 2: Convert to fraction form
    3,193.84/4,790.44 = 1,113.64/x
  3. Step 3: Cross multiply
    3,193.84x = 4,790.44 × 1,113.64
  4. Step 4: Simplify right side
    3,193.84x = 5,334,825.60
  5. Step 5: Solve for x
    x = 5,334,825.60/3,193.84
  6. Step 6: Final answer
    x = 1,670.35

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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.