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Finding the Fourth Proportional to 2,964.48, 4,087.80 and 2,080

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Solution

The fourth proportional to 2,964.48, 4,087.80 and 2,080 is: 2,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.48 : 4,087.80 = 2,080 : x
  2. Step 2: Convert to fraction form
    2,964.48/4,087.80 = 2,080/x
  3. Step 3: Cross multiply
    2,964.48x = 4,087.80 × 2,080
  4. Step 4: Simplify right side
    2,964.48x = 8,502,624
  5. Step 5: Solve for x
    x = 8,502,624/2,964.48
  6. Step 6: Final answer
    x = 2,868.17

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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.