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Finding the Fourth Proportional to 2,271.64, 3,135 and 1,263.49

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Solution

The fourth proportional to 2,271.64, 3,135 and 1,263.49 is: 1,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.64 : 3,135 = 1,263.49 : x
  2. Step 2: Convert to fraction form
    2,271.64/3,135 = 1,263.49/x
  3. Step 3: Cross multiply
    2,271.64x = 3,135 × 1,263.49
  4. Step 4: Simplify right side
    2,271.64x = 3,961,041.15
  5. Step 5: Solve for x
    x = 3,961,041.15/2,271.64
  6. Step 6: Final answer
    x = 1,743.69

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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.