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Finding the Fourth Proportional to 2,712.46, 3,741.31 and 2,152.15

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Solution

The fourth proportional to 2,712.46, 3,741.31 and 2,152.15 is: 2,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.46 : 3,741.31 = 2,152.15 : x
  2. Step 2: Convert to fraction form
    2,712.46/3,741.31 = 2,152.15/x
  3. Step 3: Cross multiply
    2,712.46x = 3,741.31 × 2,152.15
  4. Step 4: Simplify right side
    2,712.46x = 8,051,860.32
  5. Step 5: Solve for x
    x = 8,051,860.32/2,712.46
  6. Step 6: Final answer
    x = 2,968.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.