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Finding the Fourth Proportional to 1,898.94, 2,849.80 and 1,078.82

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Solution

The fourth proportional to 1,898.94, 2,849.80 and 1,078.82 is: 1,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.94 : 2,849.80 = 1,078.82 : x
  2. Step 2: Convert to fraction form
    1,898.94/2,849.80 = 1,078.82/x
  3. Step 3: Cross multiply
    1,898.94x = 2,849.80 × 1,078.82
  4. Step 4: Simplify right side
    1,898.94x = 3,074,421.24
  5. Step 5: Solve for x
    x = 3,074,421.24/1,898.94
  6. Step 6: Final answer
    x = 1,619.02

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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.