Home / 1,217.41-1,826.11-384.53

Finding the Fourth Proportional to 1,217.41, 1,826.11 and 384.53

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Solution

The fourth proportional to 1,217.41, 1,826.11 and 384.53 is: 576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.41 : 1,826.11 = 384.53 : x
  2. Step 2: Convert to fraction form
    1,217.41/1,826.11 = 384.53/x
  3. Step 3: Cross multiply
    1,217.41x = 1,826.11 × 384.53
  4. Step 4: Simplify right side
    1,217.41x = 702,194.08
  5. Step 5: Solve for x
    x = 702,194.08/1,217.41
  6. Step 6: Final answer
    x = 576.79

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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.