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Finding the Fourth Proportional to 2,714.08, 4,071.13 and 662.08

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Solution

The fourth proportional to 2,714.08, 4,071.13 and 662.08 is: 993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.08 : 4,071.13 = 662.08 : x
  2. Step 2: Convert to fraction form
    2,714.08/4,071.13 = 662.08/x
  3. Step 3: Cross multiply
    2,714.08x = 4,071.13 × 662.08
  4. Step 4: Simplify right side
    2,714.08x = 2,695,413.75
  5. Step 5: Solve for x
    x = 2,695,413.75/2,714.08
  6. Step 6: Final answer
    x = 993.12

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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.