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Finding the Fourth Proportional to 3,153.23, 4,730.93 and 1,205.99

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Solution

The fourth proportional to 3,153.23, 4,730.93 and 1,205.99 is: 1,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.23 : 4,730.93 = 1,205.99 : x
  2. Step 2: Convert to fraction form
    3,153.23/4,730.93 = 1,205.99/x
  3. Step 3: Cross multiply
    3,153.23x = 4,730.93 × 1,205.99
  4. Step 4: Simplify right side
    3,153.23x = 5,705,448.24
  5. Step 5: Solve for x
    x = 5,705,448.24/3,153.23
  6. Step 6: Final answer
    x = 1,809.40

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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.