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Finding the Fourth Proportional to 2,457.72, 3,670.20 and 2,331.36

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Solution

The fourth proportional to 2,457.72, 3,670.20 and 2,331.36 is: 3,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.72 : 3,670.20 = 2,331.36 : x
  2. Step 2: Convert to fraction form
    2,457.72/3,670.20 = 2,331.36/x
  3. Step 3: Cross multiply
    2,457.72x = 3,670.20 × 2,331.36
  4. Step 4: Simplify right side
    2,457.72x = 8,556,557.47
  5. Step 5: Solve for x
    x = 8,556,557.47/2,457.72
  6. Step 6: Final answer
    x = 3,481.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.