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Finding the Fourth Proportional to 1,471.33, 2,030.43 and 841.85

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Solution

The fourth proportional to 1,471.33, 2,030.43 and 841.85 is: 1,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.33 : 2,030.43 = 841.85 : x
  2. Step 2: Convert to fraction form
    1,471.33/2,030.43 = 841.85/x
  3. Step 3: Cross multiply
    1,471.33x = 2,030.43 × 841.85
  4. Step 4: Simplify right side
    1,471.33x = 1,709,319.75
  5. Step 5: Solve for x
    x = 1,709,319.75/1,471.33
  6. Step 6: Final answer
    x = 1,161.75

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