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Finding the Fourth Proportional to 1,501.89, 2,252.76 and 461.85

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Solution

The fourth proportional to 1,501.89, 2,252.76 and 461.85 is: 692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.89 : 2,252.76 = 461.85 : x
  2. Step 2: Convert to fraction form
    1,501.89/2,252.76 = 461.85/x
  3. Step 3: Cross multiply
    1,501.89x = 2,252.76 × 461.85
  4. Step 4: Simplify right side
    1,501.89x = 1,040,437.21
  5. Step 5: Solve for x
    x = 1,040,437.21/1,501.89
  6. Step 6: Final answer
    x = 692.75

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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.