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Finding the Fourth Proportional to 1,789.78, 2,470 and 1,003.94

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Solution

The fourth proportional to 1,789.78, 2,470 and 1,003.94 is: 1,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.78 : 2,470 = 1,003.94 : x
  2. Step 2: Convert to fraction form
    1,789.78/2,470 = 1,003.94/x
  3. Step 3: Cross multiply
    1,789.78x = 2,470 × 1,003.94
  4. Step 4: Simplify right side
    1,789.78x = 2,479,731.80
  5. Step 5: Solve for x
    x = 2,479,731.80/1,789.78
  6. Step 6: Final answer
    x = 1,385.50

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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.