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Finding the Fourth Proportional to 1,471.41, 2,030.31 and 841.83

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Solution

The fourth proportional to 1,471.41, 2,030.31 and 841.83 is: 1,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.41 : 2,030.31 = 841.83 : x
  2. Step 2: Convert to fraction form
    1,471.41/2,030.31 = 841.83/x
  3. Step 3: Cross multiply
    1,471.41x = 2,030.31 × 841.83
  4. Step 4: Simplify right side
    1,471.41x = 1,709,175.87
  5. Step 5: Solve for x
    x = 1,709,175.87/1,471.41
  6. Step 6: Final answer
    x = 1,161.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.