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Finding the Fourth Proportional to 2,424.05, 3,636.20 and 692.63

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Solution

The fourth proportional to 2,424.05, 3,636.20 and 692.63 is: 1,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.05 : 3,636.20 = 692.63 : x
  2. Step 2: Convert to fraction form
    2,424.05/3,636.20 = 692.63/x
  3. Step 3: Cross multiply
    2,424.05x = 3,636.20 × 692.63
  4. Step 4: Simplify right side
    2,424.05x = 2,518,524.76
  5. Step 5: Solve for x
    x = 2,518,524.76/2,424.05
  6. Step 6: Final answer
    x = 1,038.98

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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.