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Finding the Fourth Proportional to 1,553.41, 2,143.51 and 923.95

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Solution

The fourth proportional to 1,553.41, 2,143.51 and 923.95 is: 1,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.41 : 2,143.51 = 923.95 : x
  2. Step 2: Convert to fraction form
    1,553.41/2,143.51 = 923.95/x
  3. Step 3: Cross multiply
    1,553.41x = 2,143.51 × 923.95
  4. Step 4: Simplify right side
    1,553.41x = 1,980,496.06
  5. Step 5: Solve for x
    x = 1,980,496.06/1,553.41
  6. Step 6: Final answer
    x = 1,274.93

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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.