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Finding the Fourth Proportional to 2,762.37, 3,811.95 and 1,583.22

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Solution

The fourth proportional to 2,762.37, 3,811.95 and 1,583.22 is: 2,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.37 : 3,811.95 = 1,583.22 : x
  2. Step 2: Convert to fraction form
    2,762.37/3,811.95 = 1,583.22/x
  3. Step 3: Cross multiply
    2,762.37x = 3,811.95 × 1,583.22
  4. Step 4: Simplify right side
    2,762.37x = 6,035,155.48
  5. Step 5: Solve for x
    x = 6,035,155.48/2,762.37
  6. Step 6: Final answer
    x = 2,184.77

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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.