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Finding the Fourth Proportional to 2,338.13, 3,506.69 and 694.69

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Solution

The fourth proportional to 2,338.13, 3,506.69 and 694.69 is: 1,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.13 : 3,506.69 = 694.69 : x
  2. Step 2: Convert to fraction form
    2,338.13/3,506.69 = 694.69/x
  3. Step 3: Cross multiply
    2,338.13x = 3,506.69 × 694.69
  4. Step 4: Simplify right side
    2,338.13x = 2,436,075.17
  5. Step 5: Solve for x
    x = 2,436,075.17/2,338.13
  6. Step 6: Final answer
    x = 1,041.89

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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.