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Finding the Fourth Proportional to 3,315.99, 4,970.84 and 1,234.58

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Solution

The fourth proportional to 3,315.99, 4,970.84 and 1,234.58 is: 1,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.99 : 4,970.84 = 1,234.58 : x
  2. Step 2: Convert to fraction form
    3,315.99/4,970.84 = 1,234.58/x
  3. Step 3: Cross multiply
    3,315.99x = 4,970.84 × 1,234.58
  4. Step 4: Simplify right side
    3,315.99x = 6,136,868.62
  5. Step 5: Solve for x
    x = 6,136,868.62/3,315.99
  6. Step 6: Final answer
    x = 1,850.69

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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.