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Finding the Fourth Proportional to 3,075.50, 4,611 and 1,127.72

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Solution

The fourth proportional to 3,075.50, 4,611 and 1,127.72 is: 1,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.50 : 4,611 = 1,127.72 : x
  2. Step 2: Convert to fraction form
    3,075.50/4,611 = 1,127.72/x
  3. Step 3: Cross multiply
    3,075.50x = 4,611 × 1,127.72
  4. Step 4: Simplify right side
    3,075.50x = 5,199,916.92
  5. Step 5: Solve for x
    x = 5,199,916.92/3,075.50
  6. Step 6: Final answer
    x = 1,690.75

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Why These Related Problems?

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