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Finding the Fourth Proportional to 3,075.69, 4,609.93 and 1,428.77

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Solution

The fourth proportional to 3,075.69, 4,609.93 and 1,428.77 is: 2,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.69 : 4,609.93 = 1,428.77 : x
  2. Step 2: Convert to fraction form
    3,075.69/4,609.93 = 1,428.77/x
  3. Step 3: Cross multiply
    3,075.69x = 4,609.93 × 1,428.77
  4. Step 4: Simplify right side
    3,075.69x = 6,586,529.69
  5. Step 5: Solve for x
    x = 6,586,529.69/3,075.69
  6. Step 6: Final answer
    x = 2,141.48

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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.