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Finding the Fourth Proportional to 2,014.62, 2,776.73 and 1,384.04

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Solution

The fourth proportional to 2,014.62, 2,776.73 and 1,384.04 is: 1,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.62 : 2,776.73 = 1,384.04 : x
  2. Step 2: Convert to fraction form
    2,014.62/2,776.73 = 1,384.04/x
  3. Step 3: Cross multiply
    2,014.62x = 2,776.73 × 1,384.04
  4. Step 4: Simplify right side
    2,014.62x = 3,843,097.58
  5. Step 5: Solve for x
    x = 3,843,097.58/2,014.62
  6. Step 6: Final answer
    x = 1,907.60

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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.