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Finding the Fourth Proportional to 2,886.12, 3,981.06 and 1,767.48

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Solution

The fourth proportional to 2,886.12, 3,981.06 and 1,767.48 is: 2,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.12 : 3,981.06 = 1,767.48 : x
  2. Step 2: Convert to fraction form
    2,886.12/3,981.06 = 1,767.48/x
  3. Step 3: Cross multiply
    2,886.12x = 3,981.06 × 1,767.48
  4. Step 4: Simplify right side
    2,886.12x = 7,036,443.93
  5. Step 5: Solve for x
    x = 7,036,443.93/2,886.12
  6. Step 6: Final answer
    x = 2,438.03

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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.