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Finding the Fourth Proportional to 2,457.50, 3,703.20 and 2,226.38

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Solution

The fourth proportional to 2,457.50, 3,703.20 and 2,226.38 is: 3,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.50 : 3,703.20 = 2,226.38 : x
  2. Step 2: Convert to fraction form
    2,457.50/3,703.20 = 2,226.38/x
  3. Step 3: Cross multiply
    2,457.50x = 3,703.20 × 2,226.38
  4. Step 4: Simplify right side
    2,457.50x = 8,244,730.42
  5. Step 5: Solve for x
    x = 8,244,730.42/2,457.50
  6. Step 6: Final answer
    x = 3,354.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.