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Finding the Fourth Proportional to 2,075.40, 2,864.03 and 1,131.21

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Solution

The fourth proportional to 2,075.40, 2,864.03 and 1,131.21 is: 1,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.40 : 2,864.03 = 1,131.21 : x
  2. Step 2: Convert to fraction form
    2,075.40/2,864.03 = 1,131.21/x
  3. Step 3: Cross multiply
    2,075.40x = 2,864.03 × 1,131.21
  4. Step 4: Simplify right side
    2,075.40x = 3,239,813.72
  5. Step 5: Solve for x
    x = 3,239,813.72/2,075.40
  6. Step 6: Final answer
    x = 1,561.06

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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.