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Finding the Fourth Proportional to 1,429.41, 1,972.73 and 1,031.40

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Solution

The fourth proportional to 1,429.41, 1,972.73 and 1,031.40 is: 1,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.41 : 1,972.73 = 1,031.40 : x
  2. Step 2: Convert to fraction form
    1,429.41/1,972.73 = 1,031.40/x
  3. Step 3: Cross multiply
    1,429.41x = 1,972.73 × 1,031.40
  4. Step 4: Simplify right side
    1,429.41x = 2,034,668.57
  5. Step 5: Solve for x
    x = 2,034,668.57/1,429.41
  6. Step 6: Final answer
    x = 1,423.43

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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.