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Finding the Fourth Proportional to 4,809.70, 7,214.67 and 1,693.30

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Solution

The fourth proportional to 4,809.70, 7,214.67 and 1,693.30 is: 2,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.70 : 7,214.67 = 1,693.30 : x
  2. Step 2: Convert to fraction form
    4,809.70/7,214.67 = 1,693.30/x
  3. Step 3: Cross multiply
    4,809.70x = 7,214.67 × 1,693.30
  4. Step 4: Simplify right side
    4,809.70x = 12,216,600.71
  5. Step 5: Solve for x
    x = 12,216,600.71/4,809.70
  6. Step 6: Final answer
    x = 2,539.99

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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.