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Finding the Fourth Proportional to 1,898.83, 2,848.10 and 600.31

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Solution

The fourth proportional to 1,898.83, 2,848.10 and 600.31 is: 900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.83 : 2,848.10 = 600.31 : x
  2. Step 2: Convert to fraction form
    1,898.83/2,848.10 = 600.31/x
  3. Step 3: Cross multiply
    1,898.83x = 2,848.10 × 600.31
  4. Step 4: Simplify right side
    1,898.83x = 1,709,739.91
  5. Step 5: Solve for x
    x = 1,709,739.91/1,898.83
  6. Step 6: Final answer
    x = 900.42

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