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Finding the Fourth Proportional to 1,725.98, 2,394.05 and 1,663.71

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Solution

The fourth proportional to 1,725.98, 2,394.05 and 1,663.71 is: 2,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.98 : 2,394.05 = 1,663.71 : x
  2. Step 2: Convert to fraction form
    1,725.98/2,394.05 = 1,663.71/x
  3. Step 3: Cross multiply
    1,725.98x = 2,394.05 × 1,663.71
  4. Step 4: Simplify right side
    1,725.98x = 3,982,992.31
  5. Step 5: Solve for x
    x = 3,982,992.31/1,725.98
  6. Step 6: Final answer
    x = 2,307.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.