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Finding the Fourth Proportional to 1,340.15, 2,010.83 and 723.63

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Solution

The fourth proportional to 1,340.15, 2,010.83 and 723.63 is: 1,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.15 : 2,010.83 = 723.63 : x
  2. Step 2: Convert to fraction form
    1,340.15/2,010.83 = 723.63/x
  3. Step 3: Cross multiply
    1,340.15x = 2,010.83 × 723.63
  4. Step 4: Simplify right side
    1,340.15x = 1,455,100.84
  5. Step 5: Solve for x
    x = 1,455,100.84/1,340.15
  6. Step 6: Final answer
    x = 1,085.78

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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.