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Finding the Fourth Proportional to 1,823.92, 2,516.88 and 1,431.88

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Solution

The fourth proportional to 1,823.92, 2,516.88 and 1,431.88 is: 1,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.92 : 2,516.88 = 1,431.88 : x
  2. Step 2: Convert to fraction form
    1,823.92/2,516.88 = 1,431.88/x
  3. Step 3: Cross multiply
    1,823.92x = 2,516.88 × 1,431.88
  4. Step 4: Simplify right side
    1,823.92x = 3,603,870.13
  5. Step 5: Solve for x
    x = 3,603,870.13/1,823.92
  6. Step 6: Final answer
    x = 1,975.89

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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.