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Finding the Fourth Proportional to 1,429.84, 2,128.82 and 1,412.56

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Solution

The fourth proportional to 1,429.84, 2,128.82 and 1,412.56 is: 2,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.84 : 2,128.82 = 1,412.56 : x
  2. Step 2: Convert to fraction form
    1,429.84/2,128.82 = 1,412.56/x
  3. Step 3: Cross multiply
    1,429.84x = 2,128.82 × 1,412.56
  4. Step 4: Simplify right side
    1,429.84x = 3,007,085.98
  5. Step 5: Solve for x
    x = 3,007,085.98/1,429.84
  6. Step 6: Final answer
    x = 2,103.09

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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.