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Finding the Fourth Proportional to 1,370.73, 2,051.20 and 1,004.61

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Solution

The fourth proportional to 1,370.73, 2,051.20 and 1,004.61 is: 1,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.73 : 2,051.20 = 1,004.61 : x
  2. Step 2: Convert to fraction form
    1,370.73/2,051.20 = 1,004.61/x
  3. Step 3: Cross multiply
    1,370.73x = 2,051.20 × 1,004.61
  4. Step 4: Simplify right side
    1,370.73x = 2,060,656.03
  5. Step 5: Solve for x
    x = 2,060,656.03/1,370.73
  6. Step 6: Final answer
    x = 1,503.33

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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.