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Finding the Fourth Proportional to 1,898.35, 2,846.71 and 599.92

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Solution

The fourth proportional to 1,898.35, 2,846.71 and 599.92 is: 899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.35 : 2,846.71 = 599.92 : x
  2. Step 2: Convert to fraction form
    1,898.35/2,846.71 = 599.92/x
  3. Step 3: Cross multiply
    1,898.35x = 2,846.71 × 599.92
  4. Step 4: Simplify right side
    1,898.35x = 1,707,798.26
  5. Step 5: Solve for x
    x = 1,707,798.26/1,898.35
  6. Step 6: Final answer
    x = 899.62

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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.