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Finding the Fourth Proportional to 1,557.37, 2,336.10 and 461.80

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Solution

The fourth proportional to 1,557.37, 2,336.10 and 461.80 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.37 : 2,336.10 = 461.80 : x
  2. Step 2: Convert to fraction form
    1,557.37/2,336.10 = 461.80/x
  3. Step 3: Cross multiply
    1,557.37x = 2,336.10 × 461.80
  4. Step 4: Simplify right side
    1,557.37x = 1,078,810.98
  5. Step 5: Solve for x
    x = 1,078,810.98/1,557.37
  6. Step 6: Final answer
    x = 692.71

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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.