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Finding the Fourth Proportional to 1,628.71, 2,443.13 and 474.46

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Solution

The fourth proportional to 1,628.71, 2,443.13 and 474.46 is: 711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.71 : 2,443.13 = 474.46 : x
  2. Step 2: Convert to fraction form
    1,628.71/2,443.13 = 474.46/x
  3. Step 3: Cross multiply
    1,628.71x = 2,443.13 × 474.46
  4. Step 4: Simplify right side
    1,628.71x = 1,159,167.46
  5. Step 5: Solve for x
    x = 1,159,167.46/1,628.71
  6. Step 6: Final answer
    x = 711.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.