Home / 1,880.24-2,820.64-581.81

Finding the Fourth Proportional to 1,880.24, 2,820.64 and 581.81

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Solution

The fourth proportional to 1,880.24, 2,820.64 and 581.81 is: 872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.24 : 2,820.64 = 581.81 : x
  2. Step 2: Convert to fraction form
    1,880.24/2,820.64 = 581.81/x
  3. Step 3: Cross multiply
    1,880.24x = 2,820.64 × 581.81
  4. Step 4: Simplify right side
    1,880.24x = 1,641,082.16
  5. Step 5: Solve for x
    x = 1,641,082.16/1,880.24
  6. Step 6: Final answer
    x = 872.80

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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.