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Finding the Fourth Proportional to 2,762.85, 4,143.47 and 1,463.61

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Solution

The fourth proportional to 2,762.85, 4,143.47 and 1,463.61 is: 2,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.85 : 4,143.47 = 1,463.61 : x
  2. Step 2: Convert to fraction form
    2,762.85/4,143.47 = 1,463.61/x
  3. Step 3: Cross multiply
    2,762.85x = 4,143.47 × 1,463.61
  4. Step 4: Simplify right side
    2,762.85x = 6,064,416.81
  5. Step 5: Solve for x
    x = 6,064,416.81/2,762.85
  6. Step 6: Final answer
    x = 2,194.99

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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.