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Finding the Fourth Proportional to 1,552.93, 2,142.76 and 923.62

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Solution

The fourth proportional to 1,552.93, 2,142.76 and 923.62 is: 1,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.93 : 2,142.76 = 923.62 : x
  2. Step 2: Convert to fraction form
    1,552.93/2,142.76 = 923.62/x
  3. Step 3: Cross multiply
    1,552.93x = 2,142.76 × 923.62
  4. Step 4: Simplify right side
    1,552.93x = 1,979,085.55
  5. Step 5: Solve for x
    x = 1,979,085.55/1,552.93
  6. Step 6: Final answer
    x = 1,274.42

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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.