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Finding the Fourth Proportional to 2,271.63, 3,133.79 and 1,327.46

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Solution

The fourth proportional to 2,271.63, 3,133.79 and 1,327.46 is: 1,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.63 : 3,133.79 = 1,327.46 : x
  2. Step 2: Convert to fraction form
    2,271.63/3,133.79 = 1,327.46/x
  3. Step 3: Cross multiply
    2,271.63x = 3,133.79 × 1,327.46
  4. Step 4: Simplify right side
    2,271.63x = 4,159,980.27
  5. Step 5: Solve for x
    x = 4,159,980.27/2,271.63
  6. Step 6: Final answer
    x = 1,831.28

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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.