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Finding the Fourth Proportional to 2,123.98, 3,185.97 and 2,075.38

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Solution

The fourth proportional to 2,123.98, 3,185.97 and 2,075.38 is: 3,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.98 : 3,185.97 = 2,075.38 : x
  2. Step 2: Convert to fraction form
    2,123.98/3,185.97 = 2,075.38/x
  3. Step 3: Cross multiply
    2,123.98x = 3,185.97 × 2,075.38
  4. Step 4: Simplify right side
    2,123.98x = 6,612,098.42
  5. Step 5: Solve for x
    x = 6,612,098.42/2,123.98
  6. Step 6: Final answer
    x = 3,113.07

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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.