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Finding the Fourth Proportional to 2,457.74, 3,683.37 and 996.10

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Solution

The fourth proportional to 2,457.74, 3,683.37 and 996.10 is: 1,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.74 : 3,683.37 = 996.10 : x
  2. Step 2: Convert to fraction form
    2,457.74/3,683.37 = 996.10/x
  3. Step 3: Cross multiply
    2,457.74x = 3,683.37 × 996.10
  4. Step 4: Simplify right side
    2,457.74x = 3,668,999.38
  5. Step 5: Solve for x
    x = 3,668,999.38/2,457.74
  6. Step 6: Final answer
    x = 1,492.83

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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.