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Finding the Fourth Proportional to 1,411.74, 2,107.98 and 1,245.81

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Solution

The fourth proportional to 1,411.74, 2,107.98 and 1,245.81 is: 1,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.74 : 2,107.98 = 1,245.81 : x
  2. Step 2: Convert to fraction form
    1,411.74/2,107.98 = 1,245.81/x
  3. Step 3: Cross multiply
    1,411.74x = 2,107.98 × 1,245.81
  4. Step 4: Simplify right side
    1,411.74x = 2,626,142.56
  5. Step 5: Solve for x
    x = 2,626,142.56/1,411.74
  6. Step 6: Final answer
    x = 1,860.22

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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.