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Finding the Fourth Proportional to 2,585.00, 3,567.27 and 1,406.05

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Solution

The fourth proportional to 2,585.00, 3,567.27 and 1,406.05 is: 1,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.00 : 3,567.27 = 1,406.05 : x
  2. Step 2: Convert to fraction form
    2,585.00/3,567.27 = 1,406.05/x
  3. Step 3: Cross multiply
    2,585.00x = 3,567.27 × 1,406.05
  4. Step 4: Simplify right side
    2,585.00x = 5,015,751.07
  5. Step 5: Solve for x
    x = 5,015,751.07/2,585.00
  6. Step 6: Final answer
    x = 1,940.33

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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.