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Finding the Fourth Proportional to 1,898.61, 2,848.23 and 600

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Solution

The fourth proportional to 1,898.61, 2,848.23 and 600 is: 900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.61 : 2,848.23 = 600 : x
  2. Step 2: Convert to fraction form
    1,898.61/2,848.23 = 600/x
  3. Step 3: Cross multiply
    1,898.61x = 2,848.23 × 600
  4. Step 4: Simplify right side
    1,898.61x = 1,708,938
  5. Step 5: Solve for x
    x = 1,708,938/1,898.61
  6. Step 6: Final answer
    x = 900.10

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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.