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Finding the Fourth Proportional to 2,953.99, 4,075.40 and 1,694.60

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Solution

The fourth proportional to 2,953.99, 4,075.40 and 1,694.60 is: 2,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.99 : 4,075.40 = 1,694.60 : x
  2. Step 2: Convert to fraction form
    2,953.99/4,075.40 = 1,694.60/x
  3. Step 3: Cross multiply
    2,953.99x = 4,075.40 × 1,694.60
  4. Step 4: Simplify right side
    2,953.99x = 6,906,156.70
  5. Step 5: Solve for x
    x = 6,906,156.70/2,953.99
  6. Step 6: Final answer
    x = 2,337.91

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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.