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Finding the Fourth Proportional to 4,075.70, 6,114.92 and 1,611.23

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Solution

The fourth proportional to 4,075.70, 6,114.92 and 1,611.23 is: 2,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.70 : 6,114.92 = 1,611.23 : x
  2. Step 2: Convert to fraction form
    4,075.70/6,114.92 = 1,611.23/x
  3. Step 3: Cross multiply
    4,075.70x = 6,114.92 × 1,611.23
  4. Step 4: Simplify right side
    4,075.70x = 9,852,503.92
  5. Step 5: Solve for x
    x = 9,852,503.92/4,075.70
  6. Step 6: Final answer
    x = 2,417.38

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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.