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Finding the Fourth Proportional to 1,471.28, 2,030.28 and 841.84

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Solution

The fourth proportional to 1,471.28, 2,030.28 and 841.84 is: 1,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.28 : 2,030.28 = 841.84 : x
  2. Step 2: Convert to fraction form
    1,471.28/2,030.28 = 841.84/x
  3. Step 3: Cross multiply
    1,471.28x = 2,030.28 × 841.84
  4. Step 4: Simplify right side
    1,471.28x = 1,709,170.92
  5. Step 5: Solve for x
    x = 1,709,170.92/1,471.28
  6. Step 6: Final answer
    x = 1,161.69

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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.