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Finding the Fourth Proportional to 2,967.04, 4,091.88 and 1,918

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Solution

The fourth proportional to 2,967.04, 4,091.88 and 1,918 is: 2,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.04 : 4,091.88 = 1,918 : x
  2. Step 2: Convert to fraction form
    2,967.04/4,091.88 = 1,918/x
  3. Step 3: Cross multiply
    2,967.04x = 4,091.88 × 1,918
  4. Step 4: Simplify right side
    2,967.04x = 7,848,225.84
  5. Step 5: Solve for x
    x = 7,848,225.84/2,967.04
  6. Step 6: Final answer
    x = 2,645.14

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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.