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Finding the Fourth Proportional to 2,953.69, 4,075.91 and 1,694.95

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Solution

The fourth proportional to 2,953.69, 4,075.91 and 1,694.95 is: 2,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.69 : 4,075.91 = 1,694.95 : x
  2. Step 2: Convert to fraction form
    2,953.69/4,075.91 = 1,694.95/x
  3. Step 3: Cross multiply
    2,953.69x = 4,075.91 × 1,694.95
  4. Step 4: Simplify right side
    2,953.69x = 6,908,463.65
  5. Step 5: Solve for x
    x = 6,908,463.65/2,953.69
  6. Step 6: Final answer
    x = 2,338.93

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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.