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Finding the Fourth Proportional to 1,894.68, 2,838.78 and 1,529.64

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Solution

The fourth proportional to 1,894.68, 2,838.78 and 1,529.64 is: 2,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.68 : 2,838.78 = 1,529.64 : x
  2. Step 2: Convert to fraction form
    1,894.68/2,838.78 = 1,529.64/x
  3. Step 3: Cross multiply
    1,894.68x = 2,838.78 × 1,529.64
  4. Step 4: Simplify right side
    1,894.68x = 4,342,311.44
  5. Step 5: Solve for x
    x = 4,342,311.44/1,894.68
  6. Step 6: Final answer
    x = 2,291.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.