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Finding the Fourth Proportional to 2,423.86, 3,635.78 and 692.48

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Solution

The fourth proportional to 2,423.86, 3,635.78 and 692.48 is: 1,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.86 : 3,635.78 = 692.48 : x
  2. Step 2: Convert to fraction form
    2,423.86/3,635.78 = 692.48/x
  3. Step 3: Cross multiply
    2,423.86x = 3,635.78 × 692.48
  4. Step 4: Simplify right side
    2,423.86x = 2,517,704.93
  5. Step 5: Solve for x
    x = 2,517,704.93/2,423.86
  6. Step 6: Final answer
    x = 1,038.72

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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.