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Finding the Fourth Proportional to 3,068.92, 4,602.16 and 1,609.30

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Solution

The fourth proportional to 3,068.92, 4,602.16 and 1,609.30 is: 2,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.92 : 4,602.16 = 1,609.30 : x
  2. Step 2: Convert to fraction form
    3,068.92/4,602.16 = 1,609.30/x
  3. Step 3: Cross multiply
    3,068.92x = 4,602.16 × 1,609.30
  4. Step 4: Simplify right side
    3,068.92x = 7,406,256.09
  5. Step 5: Solve for x
    x = 7,406,256.09/3,068.92
  6. Step 6: Final answer
    x = 2,413.31

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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.