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Finding the Fourth Proportional to 1,984.34, 2,956.71 and 1,896.02

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Solution

The fourth proportional to 1,984.34, 2,956.71 and 1,896.02 is: 2,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.34 : 2,956.71 = 1,896.02 : x
  2. Step 2: Convert to fraction form
    1,984.34/2,956.71 = 1,896.02/x
  3. Step 3: Cross multiply
    1,984.34x = 2,956.71 × 1,896.02
  4. Step 4: Simplify right side
    1,984.34x = 5,605,971.81
  5. Step 5: Solve for x
    x = 5,605,971.81/1,984.34
  6. Step 6: Final answer
    x = 2,825.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.