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Finding the Fourth Proportional to 1,789.39, 2,470.50 and 1,458.60

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Solution

The fourth proportional to 1,789.39, 2,470.50 and 1,458.60 is: 2,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.39 : 2,470.50 = 1,458.60 : x
  2. Step 2: Convert to fraction form
    1,789.39/2,470.50 = 1,458.60/x
  3. Step 3: Cross multiply
    1,789.39x = 2,470.50 × 1,458.60
  4. Step 4: Simplify right side
    1,789.39x = 3,603,471.30
  5. Step 5: Solve for x
    x = 3,603,471.30/1,789.39
  6. Step 6: Final answer
    x = 2,013.80

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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.