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Finding the Fourth Proportional to 2,584.74, 3,566.80 and 1,405.80

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Solution

The fourth proportional to 2,584.74, 3,566.80 and 1,405.80 is: 1,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.74 : 3,566.80 = 1,405.80 : x
  2. Step 2: Convert to fraction form
    2,584.74/3,566.80 = 1,405.80/x
  3. Step 3: Cross multiply
    2,584.74x = 3,566.80 × 1,405.80
  4. Step 4: Simplify right side
    2,584.74x = 5,014,207.44
  5. Step 5: Solve for x
    x = 5,014,207.44/2,584.74
  6. Step 6: Final answer
    x = 1,939.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.