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Finding the Fourth Proportional to 2,953.49, 4,075.94 and 1,694.90

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Solution

The fourth proportional to 2,953.49, 4,075.94 and 1,694.90 is: 2,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.49 : 4,075.94 = 1,694.90 : x
  2. Step 2: Convert to fraction form
    2,953.49/4,075.94 = 1,694.90/x
  3. Step 3: Cross multiply
    2,953.49x = 4,075.94 × 1,694.90
  4. Step 4: Simplify right side
    2,953.49x = 6,908,325.13
  5. Step 5: Solve for x
    x = 6,908,325.13/2,953.49
  6. Step 6: Final answer
    x = 2,339.04

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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.