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Finding the Fourth Proportional to 2,971.34, 4,097.72 and 2,551.55

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Solution

The fourth proportional to 2,971.34, 4,097.72 and 2,551.55 is: 3,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.34 : 4,097.72 = 2,551.55 : x
  2. Step 2: Convert to fraction form
    2,971.34/4,097.72 = 2,551.55/x
  3. Step 3: Cross multiply
    2,971.34x = 4,097.72 × 2,551.55
  4. Step 4: Simplify right side
    2,971.34x = 10,455,504.22
  5. Step 5: Solve for x
    x = 10,455,504.22/2,971.34
  6. Step 6: Final answer
    x = 3,518.79

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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.