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Finding the Fourth Proportional to 1,833.50, 2,748.80 and 600.14

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Solution

The fourth proportional to 1,833.50, 2,748.80 and 600.14 is: 899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.50 : 2,748.80 = 600.14 : x
  2. Step 2: Convert to fraction form
    1,833.50/2,748.80 = 600.14/x
  3. Step 3: Cross multiply
    1,833.50x = 2,748.80 × 600.14
  4. Step 4: Simplify right side
    1,833.50x = 1,649,673.20
  5. Step 5: Solve for x
    x = 1,649,673.20/1,833.50
  6. Step 6: Final answer
    x = 899.74

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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.