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Finding the Fourth Proportional to 2,336.78, 3,504.58 and 692.95

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Solution

The fourth proportional to 2,336.78, 3,504.58 and 692.95 is: 1,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.78 : 3,504.58 = 692.95 : x
  2. Step 2: Convert to fraction form
    2,336.78/3,504.58 = 692.95/x
  3. Step 3: Cross multiply
    2,336.78x = 3,504.58 × 692.95
  4. Step 4: Simplify right side
    2,336.78x = 2,428,498.71
  5. Step 5: Solve for x
    x = 2,428,498.71/2,336.78
  6. Step 6: Final answer
    x = 1,039.25

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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.