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Finding the Fourth Proportional to 2,964.63, 4,090.16 and 1,902.32

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Solution

The fourth proportional to 2,964.63, 4,090.16 and 1,902.32 is: 2,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.63 : 4,090.16 = 1,902.32 : x
  2. Step 2: Convert to fraction form
    2,964.63/4,090.16 = 1,902.32/x
  3. Step 3: Cross multiply
    2,964.63x = 4,090.16 × 1,902.32
  4. Step 4: Simplify right side
    2,964.63x = 7,780,792.81
  5. Step 5: Solve for x
    x = 7,780,792.81/2,964.63
  6. Step 6: Final answer
    x = 2,624.54

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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.