Home / 1,581.36-2,370.39-541.05

Finding the Fourth Proportional to 1,581.36, 2,370.39 and 541.05

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Solution

The fourth proportional to 1,581.36, 2,370.39 and 541.05 is: 811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.36 : 2,370.39 = 541.05 : x
  2. Step 2: Convert to fraction form
    1,581.36/2,370.39 = 541.05/x
  3. Step 3: Cross multiply
    1,581.36x = 2,370.39 × 541.05
  4. Step 4: Simplify right side
    1,581.36x = 1,282,510.11
  5. Step 5: Solve for x
    x = 1,282,510.11/1,581.36
  6. Step 6: Final answer
    x = 811.02

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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.