Home / 1,631.34-2,447.10-461.45

Finding the Fourth Proportional to 1,631.34, 2,447.10 and 461.45

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Solution

The fourth proportional to 1,631.34, 2,447.10 and 461.45 is: 692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.34 : 2,447.10 = 461.45 : x
  2. Step 2: Convert to fraction form
    1,631.34/2,447.10 = 461.45/x
  3. Step 3: Cross multiply
    1,631.34x = 2,447.10 × 461.45
  4. Step 4: Simplify right side
    1,631.34x = 1,129,202.06
  5. Step 5: Solve for x
    x = 1,129,202.06/1,631.34
  6. Step 6: Final answer
    x = 692.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.