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Finding the Fourth Proportional to 2,966.69, 4,094.15 and 1,918.76

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Solution

The fourth proportional to 2,966.69, 4,094.15 and 1,918.76 is: 2,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.69 : 4,094.15 = 1,918.76 : x
  2. Step 2: Convert to fraction form
    2,966.69/4,094.15 = 1,918.76/x
  3. Step 3: Cross multiply
    2,966.69x = 4,094.15 × 1,918.76
  4. Step 4: Simplify right side
    2,966.69x = 7,855,661.19
  5. Step 5: Solve for x
    x = 7,855,661.19/2,966.69
  6. Step 6: Final answer
    x = 2,647.95

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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.