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Finding the Fourth Proportional to 3,168.64, 4,746.03 and 1,605.95

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Solution

The fourth proportional to 3,168.64, 4,746.03 and 1,605.95 is: 2,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.64 : 4,746.03 = 1,605.95 : x
  2. Step 2: Convert to fraction form
    3,168.64/4,746.03 = 1,605.95/x
  3. Step 3: Cross multiply
    3,168.64x = 4,746.03 × 1,605.95
  4. Step 4: Simplify right side
    3,168.64x = 7,621,888.27
  5. Step 5: Solve for x
    x = 7,621,888.27/3,168.64
  6. Step 6: Final answer
    x = 2,405.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.