Home / 1,475.84-2,211.24-824.96

Finding the Fourth Proportional to 1,475.84, 2,211.24 and 824.96

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Solution

The fourth proportional to 1,475.84, 2,211.24 and 824.96 is: 1,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.84 : 2,211.24 = 824.96 : x
  2. Step 2: Convert to fraction form
    1,475.84/2,211.24 = 824.96/x
  3. Step 3: Cross multiply
    1,475.84x = 2,211.24 × 824.96
  4. Step 4: Simplify right side
    1,475.84x = 1,824,184.55
  5. Step 5: Solve for x
    x = 1,824,184.55/1,475.84
  6. Step 6: Final answer
    x = 1,236.03

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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.