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Finding the Fourth Proportional to 1,629.88, 2,444.80 and 397.29

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Solution

The fourth proportional to 1,629.88, 2,444.80 and 397.29 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.88 : 2,444.80 = 397.29 : x
  2. Step 2: Convert to fraction form
    1,629.88/2,444.80 = 397.29/x
  3. Step 3: Cross multiply
    1,629.88x = 2,444.80 × 397.29
  4. Step 4: Simplify right side
    1,629.88x = 971,294.59
  5. Step 5: Solve for x
    x = 971,294.59/1,629.88
  6. Step 6: Final answer
    x = 595.93

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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.