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Finding the Fourth Proportional to 1,900.99, 2,851.29 and 514.27

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Solution

The fourth proportional to 1,900.99, 2,851.29 and 514.27 is: 771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.99 : 2,851.29 = 514.27 : x
  2. Step 2: Convert to fraction form
    1,900.99/2,851.29 = 514.27/x
  3. Step 3: Cross multiply
    1,900.99x = 2,851.29 × 514.27
  4. Step 4: Simplify right side
    1,900.99x = 1,466,332.91
  5. Step 5: Solve for x
    x = 1,466,332.91/1,900.99
  6. Step 6: Final answer
    x = 771.35

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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.