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Finding the Fourth Proportional to 2,971.44, 4,452.88 and 1,670.16

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Solution

The fourth proportional to 2,971.44, 4,452.88 and 1,670.16 is: 2,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.44 : 4,452.88 = 1,670.16 : x
  2. Step 2: Convert to fraction form
    2,971.44/4,452.88 = 1,670.16/x
  3. Step 3: Cross multiply
    2,971.44x = 4,452.88 × 1,670.16
  4. Step 4: Simplify right side
    2,971.44x = 7,437,022.06
  5. Step 5: Solve for x
    x = 7,437,022.06/2,971.44
  6. Step 6: Final answer
    x = 2,502.83

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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.