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Finding the Fourth Proportional to 1,581.41, 2,371.53 and 541.19

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Solution

The fourth proportional to 1,581.41, 2,371.53 and 541.19 is: 811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.41 : 2,371.53 = 541.19 : x
  2. Step 2: Convert to fraction form
    1,581.41/2,371.53 = 541.19/x
  3. Step 3: Cross multiply
    1,581.41x = 2,371.53 × 541.19
  4. Step 4: Simplify right side
    1,581.41x = 1,283,448.32
  5. Step 5: Solve for x
    x = 1,283,448.32/1,581.41
  6. Step 6: Final answer
    x = 811.58

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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.