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Finding the Fourth Proportional to 1,411.55, 2,105.84 and 1,375.31

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Solution

The fourth proportional to 1,411.55, 2,105.84 and 1,375.31 is: 2,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.55 : 2,105.84 = 1,375.31 : x
  2. Step 2: Convert to fraction form
    1,411.55/2,105.84 = 1,375.31/x
  3. Step 3: Cross multiply
    1,411.55x = 2,105.84 × 1,375.31
  4. Step 4: Simplify right side
    1,411.55x = 2,896,165.40
  5. Step 5: Solve for x
    x = 2,896,165.40/1,411.55
  6. Step 6: Final answer
    x = 2,051.76

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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.