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Finding the Fourth Proportional to 2,535.81, 3,804.30 and 1,075.02

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Solution

The fourth proportional to 2,535.81, 3,804.30 and 1,075.02 is: 1,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.81 : 3,804.30 = 1,075.02 : x
  2. Step 2: Convert to fraction form
    2,535.81/3,804.30 = 1,075.02/x
  3. Step 3: Cross multiply
    2,535.81x = 3,804.30 × 1,075.02
  4. Step 4: Simplify right side
    2,535.81x = 4,089,698.59
  5. Step 5: Solve for x
    x = 4,089,698.59/2,535.81
  6. Step 6: Final answer
    x = 1,612.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.