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Finding the Fourth Proportional to 1,369.70, 2,051.81 and 1,041.19

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Solution

The fourth proportional to 1,369.70, 2,051.81 and 1,041.19 is: 1,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.70 : 2,051.81 = 1,041.19 : x
  2. Step 2: Convert to fraction form
    1,369.70/2,051.81 = 1,041.19/x
  3. Step 3: Cross multiply
    1,369.70x = 2,051.81 × 1,041.19
  4. Step 4: Simplify right side
    1,369.70x = 2,136,324.05
  5. Step 5: Solve for x
    x = 2,136,324.05/1,369.70
  6. Step 6: Final answer
    x = 1,559.70

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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.