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Finding the Fourth Proportional to 2,335.89, 3,503.23 and 692.00

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Solution

The fourth proportional to 2,335.89, 3,503.23 and 692.00 is: 1,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.89 : 3,503.23 = 692.00 : x
  2. Step 2: Convert to fraction form
    2,335.89/3,503.23 = 692.00/x
  3. Step 3: Cross multiply
    2,335.89x = 3,503.23 × 692.00
  4. Step 4: Simplify right side
    2,335.89x = 2,424,215.91
  5. Step 5: Solve for x
    x = 2,424,215.91/2,335.89
  6. Step 6: Final answer
    x = 1,037.81

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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.