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Finding the Fourth Proportional to 2,412.72, 3,613.23 and 1,670.25

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Solution

The fourth proportional to 2,412.72, 3,613.23 and 1,670.25 is: 2,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.72 : 3,613.23 = 1,670.25 : x
  2. Step 2: Convert to fraction form
    2,412.72/3,613.23 = 1,670.25/x
  3. Step 3: Cross multiply
    2,412.72x = 3,613.23 × 1,670.25
  4. Step 4: Simplify right side
    2,412.72x = 6,034,997.41
  5. Step 5: Solve for x
    x = 6,034,997.41/2,412.72
  6. Step 6: Final answer
    x = 2,501.33

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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.