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Finding the Fourth Proportional to 2,164.93, 2,987.55 and 1,280.75

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Solution

The fourth proportional to 2,164.93, 2,987.55 and 1,280.75 is: 1,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.93 : 2,987.55 = 1,280.75 : x
  2. Step 2: Convert to fraction form
    2,164.93/2,987.55 = 1,280.75/x
  3. Step 3: Cross multiply
    2,164.93x = 2,987.55 × 1,280.75
  4. Step 4: Simplify right side
    2,164.93x = 3,826,289.72
  5. Step 5: Solve for x
    x = 3,826,289.72/2,164.93
  6. Step 6: Final answer
    x = 1,767.40

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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.