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Finding the Fourth Proportional to 3,069.66, 4,604.72 and 1,312.95

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Solution

The fourth proportional to 3,069.66, 4,604.72 and 1,312.95 is: 1,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.66 : 4,604.72 = 1,312.95 : x
  2. Step 2: Convert to fraction form
    3,069.66/4,604.72 = 1,312.95/x
  3. Step 3: Cross multiply
    3,069.66x = 4,604.72 × 1,312.95
  4. Step 4: Simplify right side
    3,069.66x = 6,045,760.56
  5. Step 5: Solve for x
    x = 6,045,760.56/3,069.66
  6. Step 6: Final answer
    x = 1,969.52

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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.