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Finding the Fourth Proportional to 2,075.56, 2,863.98 and 1,191.40

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Solution

The fourth proportional to 2,075.56, 2,863.98 and 1,191.40 is: 1,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.56 : 2,863.98 = 1,191.40 : x
  2. Step 2: Convert to fraction form
    2,075.56/2,863.98 = 1,191.40/x
  3. Step 3: Cross multiply
    2,075.56x = 2,863.98 × 1,191.40
  4. Step 4: Simplify right side
    2,075.56x = 3,412,145.77
  5. Step 5: Solve for x
    x = 3,412,145.77/2,075.56
  6. Step 6: Final answer
    x = 1,643.96

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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.