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Finding the Fourth Proportional to 1,429.12, 2,141.61 and 842.74

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Solution

The fourth proportional to 1,429.12, 2,141.61 and 842.74 is: 1,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.12 : 2,141.61 = 842.74 : x
  2. Step 2: Convert to fraction form
    1,429.12/2,141.61 = 842.74/x
  3. Step 3: Cross multiply
    1,429.12x = 2,141.61 × 842.74
  4. Step 4: Simplify right side
    1,429.12x = 1,804,820.41
  5. Step 5: Solve for x
    x = 1,804,820.41/1,429.12
  6. Step 6: Final answer
    x = 1,262.89

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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.