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Finding the Fourth Proportional to 3,069.63, 4,605.35 and 1,313.73

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Solution

The fourth proportional to 3,069.63, 4,605.35 and 1,313.73 is: 1,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.63 : 4,605.35 = 1,313.73 : x
  2. Step 2: Convert to fraction form
    3,069.63/4,605.35 = 1,313.73/x
  3. Step 3: Cross multiply
    3,069.63x = 4,605.35 × 1,313.73
  4. Step 4: Simplify right side
    3,069.63x = 6,050,179.89
  5. Step 5: Solve for x
    x = 6,050,179.89/3,069.63
  6. Step 6: Final answer
    x = 1,970.98

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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.