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Finding the Fourth Proportional to 1,923.94, 2,653.11 and 1,819.87

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Solution

The fourth proportional to 1,923.94, 2,653.11 and 1,819.87 is: 2,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.94 : 2,653.11 = 1,819.87 : x
  2. Step 2: Convert to fraction form
    1,923.94/2,653.11 = 1,819.87/x
  3. Step 3: Cross multiply
    1,923.94x = 2,653.11 × 1,819.87
  4. Step 4: Simplify right side
    1,923.94x = 4,828,315.30
  5. Step 5: Solve for x
    x = 4,828,315.30/1,923.94
  6. Step 6: Final answer
    x = 2,509.60

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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.