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Finding the Fourth Proportional to 1,295.43, 1,943.16 and 883.55

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Solution

The fourth proportional to 1,295.43, 1,943.16 and 883.55 is: 1,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.43 : 1,943.16 = 883.55 : x
  2. Step 2: Convert to fraction form
    1,295.43/1,943.16 = 883.55/x
  3. Step 3: Cross multiply
    1,295.43x = 1,943.16 × 883.55
  4. Step 4: Simplify right side
    1,295.43x = 1,716,879.02
  5. Step 5: Solve for x
    x = 1,716,879.02/1,295.43
  6. Step 6: Final answer
    x = 1,325.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.