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Finding the Fourth Proportional to 2,402.86, 3,313.52 and 2,136.46

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Solution

The fourth proportional to 2,402.86, 3,313.52 and 2,136.46 is: 2,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.86 : 3,313.52 = 2,136.46 : x
  2. Step 2: Convert to fraction form
    2,402.86/3,313.52 = 2,136.46/x
  3. Step 3: Cross multiply
    2,402.86x = 3,313.52 × 2,136.46
  4. Step 4: Simplify right side
    2,402.86x = 7,079,202.94
  5. Step 5: Solve for x
    x = 7,079,202.94/2,402.86
  6. Step 6: Final answer
    x = 2,946.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.