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Finding the Fourth Proportional to 1,426.82, 1,967.69 and 929.27

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Solution

The fourth proportional to 1,426.82, 1,967.69 and 929.27 is: 1,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.82 : 1,967.69 = 929.27 : x
  2. Step 2: Convert to fraction form
    1,426.82/1,967.69 = 929.27/x
  3. Step 3: Cross multiply
    1,426.82x = 1,967.69 × 929.27
  4. Step 4: Simplify right side
    1,426.82x = 1,828,522.53
  5. Step 5: Solve for x
    x = 1,828,522.53/1,426.82
  6. Step 6: Final answer
    x = 1,281.54

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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.