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Finding the Fourth Proportional to 2,591.42, 3,576.12 and 1,412.51

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Solution

The fourth proportional to 2,591.42, 3,576.12 and 1,412.51 is: 1,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.42 : 3,576.12 = 1,412.51 : x
  2. Step 2: Convert to fraction form
    2,591.42/3,576.12 = 1,412.51/x
  3. Step 3: Cross multiply
    2,591.42x = 3,576.12 × 1,412.51
  4. Step 4: Simplify right side
    2,591.42x = 5,051,305.26
  5. Step 5: Solve for x
    x = 5,051,305.26/2,591.42
  6. Step 6: Final answer
    x = 1,949.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.