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Finding the Fourth Proportional to 4,643.40, 6,965.06 and 1,180.64

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Solution

The fourth proportional to 4,643.40, 6,965.06 and 1,180.64 is: 1,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.40 : 6,965.06 = 1,180.64 : x
  2. Step 2: Convert to fraction form
    4,643.40/6,965.06 = 1,180.64/x
  3. Step 3: Cross multiply
    4,643.40x = 6,965.06 × 1,180.64
  4. Step 4: Simplify right side
    4,643.40x = 8,223,228.44
  5. Step 5: Solve for x
    x = 8,223,228.44/4,643.40
  6. Step 6: Final answer
    x = 1,770.95

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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.