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Finding the Fourth Proportional to 2,096.64, 2,900.16 and 1,964.48

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Solution

The fourth proportional to 2,096.64, 2,900.16 and 1,964.48 is: 2,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.64 : 2,900.16 = 1,964.48 : x
  2. Step 2: Convert to fraction form
    2,096.64/2,900.16 = 1,964.48/x
  3. Step 3: Cross multiply
    2,096.64x = 2,900.16 × 1,964.48
  4. Step 4: Simplify right side
    2,096.64x = 5,697,306.32
  5. Step 5: Solve for x
    x = 5,697,306.32/2,096.64
  6. Step 6: Final answer
    x = 2,717.35

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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.