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Finding the Fourth Proportional to 2,423.82, 3,635.65 and 692.45

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Solution

The fourth proportional to 2,423.82, 3,635.65 and 692.45 is: 1,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.82 : 3,635.65 = 692.45 : x
  2. Step 2: Convert to fraction form
    2,423.82/3,635.65 = 692.45/x
  3. Step 3: Cross multiply
    2,423.82x = 3,635.65 × 692.45
  4. Step 4: Simplify right side
    2,423.82x = 2,517,488.53
  5. Step 5: Solve for x
    x = 2,517,488.53/2,423.82
  6. Step 6: Final answer
    x = 1,038.65

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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.