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Finding the Fourth Proportional to 1,609.40, 2,407.70 and 1,455.80

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Solution

The fourth proportional to 1,609.40, 2,407.70 and 1,455.80 is: 2,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.40 : 2,407.70 = 1,455.80 : x
  2. Step 2: Convert to fraction form
    1,609.40/2,407.70 = 1,455.80/x
  3. Step 3: Cross multiply
    1,609.40x = 2,407.70 × 1,455.80
  4. Step 4: Simplify right side
    1,609.40x = 3,505,129.66
  5. Step 5: Solve for x
    x = 3,505,129.66/1,609.40
  6. Step 6: Final answer
    x = 2,177.91

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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.