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Finding the Fourth Proportional to 1,340.96, 2,000.30 and 1,318.68

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Solution

The fourth proportional to 1,340.96, 2,000.30 and 1,318.68 is: 1,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.96 : 2,000.30 = 1,318.68 : x
  2. Step 2: Convert to fraction form
    1,340.96/2,000.30 = 1,318.68/x
  3. Step 3: Cross multiply
    1,340.96x = 2,000.30 × 1,318.68
  4. Step 4: Simplify right side
    1,340.96x = 2,637,749.01
  5. Step 5: Solve for x
    x = 2,637,749.01/1,340.96
  6. Step 6: Final answer
    x = 1,967.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.