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Finding the Fourth Proportional to 1,780.03, 2,456.43 and 983.37

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Solution

The fourth proportional to 1,780.03, 2,456.43 and 983.37 is: 1,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.03 : 2,456.43 = 983.37 : x
  2. Step 2: Convert to fraction form
    1,780.03/2,456.43 = 983.37/x
  3. Step 3: Cross multiply
    1,780.03x = 2,456.43 × 983.37
  4. Step 4: Simplify right side
    1,780.03x = 2,415,579.57
  5. Step 5: Solve for x
    x = 2,415,579.57/1,780.03
  6. Step 6: Final answer
    x = 1,357.04

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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.