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Finding the Fourth Proportional to 2,271.74, 3,135.11 and 1,276.95

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Solution

The fourth proportional to 2,271.74, 3,135.11 and 1,276.95 is: 1,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.74 : 3,135.11 = 1,276.95 : x
  2. Step 2: Convert to fraction form
    2,271.74/3,135.11 = 1,276.95/x
  3. Step 3: Cross multiply
    2,271.74x = 3,135.11 × 1,276.95
  4. Step 4: Simplify right side
    2,271.74x = 4,003,372.33
  5. Step 5: Solve for x
    x = 4,003,372.33/2,271.74
  6. Step 6: Final answer
    x = 1,762.25

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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.