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Finding the Fourth Proportional to 2,149.00, 3,223.48 and 589.01

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Solution

The fourth proportional to 2,149.00, 3,223.48 and 589.01 is: 883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.00 : 3,223.48 = 589.01 : x
  2. Step 2: Convert to fraction form
    2,149.00/3,223.48 = 589.01/x
  3. Step 3: Cross multiply
    2,149.00x = 3,223.48 × 589.01
  4. Step 4: Simplify right side
    2,149.00x = 1,898,649.80
  5. Step 5: Solve for x
    x = 1,898,649.80/2,149.00
  6. Step 6: Final answer
    x = 883.50

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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.