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Finding the Fourth Proportional to 1,581.94, 2,371.62 and 703.82

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Solution

The fourth proportional to 1,581.94, 2,371.62 and 703.82 is: 1,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.94 : 2,371.62 = 703.82 : x
  2. Step 2: Convert to fraction form
    1,581.94/2,371.62 = 703.82/x
  3. Step 3: Cross multiply
    1,581.94x = 2,371.62 × 703.82
  4. Step 4: Simplify right side
    1,581.94x = 1,669,193.59
  5. Step 5: Solve for x
    x = 1,669,193.59/1,581.94
  6. Step 6: Final answer
    x = 1,055.16

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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.