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Finding the Fourth Proportional to 2,584.01, 3,565.97 and 1,405.08

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Solution

The fourth proportional to 2,584.01, 3,565.97 and 1,405.08 is: 1,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.01 : 3,565.97 = 1,405.08 : x
  2. Step 2: Convert to fraction form
    2,584.01/3,565.97 = 1,405.08/x
  3. Step 3: Cross multiply
    2,584.01x = 3,565.97 × 1,405.08
  4. Step 4: Simplify right side
    2,584.01x = 5,010,473.13
  5. Step 5: Solve for x
    x = 5,010,473.13/2,584.01
  6. Step 6: Final answer
    x = 1,939.03

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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.