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Finding the Fourth Proportional to 1,429.35, 1,973.73 and 931.80

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Solution

The fourth proportional to 1,429.35, 1,973.73 and 931.80 is: 1,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.35 : 1,973.73 = 931.80 : x
  2. Step 2: Convert to fraction form
    1,429.35/1,973.73 = 931.80/x
  3. Step 3: Cross multiply
    1,429.35x = 1,973.73 × 931.80
  4. Step 4: Simplify right side
    1,429.35x = 1,839,121.61
  5. Step 5: Solve for x
    x = 1,839,121.61/1,429.35
  6. Step 6: Final answer
    x = 1,286.68

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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.