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Finding the Fourth Proportional to 2,370.81, 3,271.73 and 1,322.88

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Solution

The fourth proportional to 2,370.81, 3,271.73 and 1,322.88 is: 1,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.81 : 3,271.73 = 1,322.88 : x
  2. Step 2: Convert to fraction form
    2,370.81/3,271.73 = 1,322.88/x
  3. Step 3: Cross multiply
    2,370.81x = 3,271.73 × 1,322.88
  4. Step 4: Simplify right side
    2,370.81x = 4,328,106.18
  5. Step 5: Solve for x
    x = 4,328,106.18/2,370.81
  6. Step 6: Final answer
    x = 1,825.58

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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.