Home / 1,576.08-2,362.57-588.17

Finding the Fourth Proportional to 1,576.08, 2,362.57 and 588.17

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Solution

The fourth proportional to 1,576.08, 2,362.57 and 588.17 is: 881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.08 : 2,362.57 = 588.17 : x
  2. Step 2: Convert to fraction form
    1,576.08/2,362.57 = 588.17/x
  3. Step 3: Cross multiply
    1,576.08x = 2,362.57 × 588.17
  4. Step 4: Simplify right side
    1,576.08x = 1,389,578.04
  5. Step 5: Solve for x
    x = 1,389,578.04/1,576.08
  6. Step 6: Final answer
    x = 881.67

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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.