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Finding the Fourth Proportional to 2,971.69, 4,453.28 and 1,670.42

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Solution

The fourth proportional to 2,971.69, 4,453.28 and 1,670.42 is: 2,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.69 : 4,453.28 = 1,670.42 : x
  2. Step 2: Convert to fraction form
    2,971.69/4,453.28 = 1,670.42/x
  3. Step 3: Cross multiply
    2,971.69x = 4,453.28 × 1,670.42
  4. Step 4: Simplify right side
    2,971.69x = 7,438,839.63
  5. Step 5: Solve for x
    x = 7,438,839.63/2,971.69
  6. Step 6: Final answer
    x = 2,503.24

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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.