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Finding the Fourth Proportional to 3,153.54, 4,730.29 and 845.04

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Solution

The fourth proportional to 3,153.54, 4,730.29 and 845.04 is: 1,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.54 : 4,730.29 = 845.04 : x
  2. Step 2: Convert to fraction form
    3,153.54/4,730.29 = 845.04/x
  3. Step 3: Cross multiply
    3,153.54x = 4,730.29 × 845.04
  4. Step 4: Simplify right side
    3,153.54x = 3,997,284.26
  5. Step 5: Solve for x
    x = 3,997,284.26/3,153.54
  6. Step 6: Final answer
    x = 1,267.55

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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.