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Finding the Fourth Proportional to 2,714.56, 4,068.12 and 1,413.34

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Solution

The fourth proportional to 2,714.56, 4,068.12 and 1,413.34 is: 2,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.56 : 4,068.12 = 1,413.34 : x
  2. Step 2: Convert to fraction form
    2,714.56/4,068.12 = 1,413.34/x
  3. Step 3: Cross multiply
    2,714.56x = 4,068.12 × 1,413.34
  4. Step 4: Simplify right side
    2,714.56x = 5,749,636.72
  5. Step 5: Solve for x
    x = 5,749,636.72/2,714.56
  6. Step 6: Final answer
    x = 2,118.07

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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.