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Finding the Fourth Proportional to 1,898.91, 2,852.93 and 1,794.02

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Solution

The fourth proportional to 1,898.91, 2,852.93 and 1,794.02 is: 2,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.91 : 2,852.93 = 1,794.02 : x
  2. Step 2: Convert to fraction form
    1,898.91/2,852.93 = 1,794.02/x
  3. Step 3: Cross multiply
    1,898.91x = 2,852.93 × 1,794.02
  4. Step 4: Simplify right side
    1,898.91x = 5,118,203.70
  5. Step 5: Solve for x
    x = 5,118,203.70/1,898.91
  6. Step 6: Final answer
    x = 2,695.34

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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.