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Finding the Fourth Proportional to 1,899.07, 2,848.73 and 600.50

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Solution

The fourth proportional to 1,899.07, 2,848.73 and 600.50 is: 900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.07 : 2,848.73 = 600.50 : x
  2. Step 2: Convert to fraction form
    1,899.07/2,848.73 = 600.50/x
  3. Step 3: Cross multiply
    1,899.07x = 2,848.73 × 600.50
  4. Step 4: Simplify right side
    1,899.07x = 1,710,662.37
  5. Step 5: Solve for x
    x = 1,710,662.37/1,899.07
  6. Step 6: Final answer
    x = 900.79

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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.