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Finding the Fourth Proportional to 1,609.19, 2,412.24 and 621.27

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Solution

The fourth proportional to 1,609.19, 2,412.24 and 621.27 is: 931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.19 : 2,412.24 = 621.27 : x
  2. Step 2: Convert to fraction form
    1,609.19/2,412.24 = 621.27/x
  3. Step 3: Cross multiply
    1,609.19x = 2,412.24 × 621.27
  4. Step 4: Simplify right side
    1,609.19x = 1,498,652.34
  5. Step 5: Solve for x
    x = 1,498,652.34/1,609.19
  6. Step 6: Final answer
    x = 931.31

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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.