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Finding the Fourth Proportional to 2,087, 2,880.14 and 1,155.48

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Solution

The fourth proportional to 2,087, 2,880.14 and 1,155.48 is: 1,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087 : 2,880.14 = 1,155.48 : x
  2. Step 2: Convert to fraction form
    2,087/2,880.14 = 1,155.48/x
  3. Step 3: Cross multiply
    2,087x = 2,880.14 × 1,155.48
  4. Step 4: Simplify right side
    2,087x = 3,327,944.17
  5. Step 5: Solve for x
    x = 3,327,944.17/2,087
  6. Step 6: Final answer
    x = 1,594.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.