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Finding the Fourth Proportional to 2,864.20, 3,955.00 and 2,154.81

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Solution

The fourth proportional to 2,864.20, 3,955.00 and 2,154.81 is: 2,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.20 : 3,955.00 = 2,154.81 : x
  2. Step 2: Convert to fraction form
    2,864.20/3,955.00 = 2,154.81/x
  3. Step 3: Cross multiply
    2,864.20x = 3,955.00 × 2,154.81
  4. Step 4: Simplify right side
    2,864.20x = 8,522,301.07
  5. Step 5: Solve for x
    x = 8,522,301.07/2,864.20
  6. Step 6: Final answer
    x = 2,975.45

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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.