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Finding the Fourth Proportional to 1,431.41, 1,973.97 and 934.49

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Solution

The fourth proportional to 1,431.41, 1,973.97 and 934.49 is: 1,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.41 : 1,973.97 = 934.49 : x
  2. Step 2: Convert to fraction form
    1,431.41/1,973.97 = 934.49/x
  3. Step 3: Cross multiply
    1,431.41x = 1,973.97 × 934.49
  4. Step 4: Simplify right side
    1,431.41x = 1,844,655.23
  5. Step 5: Solve for x
    x = 1,844,655.23/1,431.41
  6. Step 6: Final answer
    x = 1,288.70

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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.