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Finding the Fourth Proportional to 1,337.15, 1,846.12 and 865.28

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Solution

The fourth proportional to 1,337.15, 1,846.12 and 865.28 is: 1,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.15 : 1,846.12 = 865.28 : x
  2. Step 2: Convert to fraction form
    1,337.15/1,846.12 = 865.28/x
  3. Step 3: Cross multiply
    1,337.15x = 1,846.12 × 865.28
  4. Step 4: Simplify right side
    1,337.15x = 1,597,401.48
  5. Step 5: Solve for x
    x = 1,597,401.48/1,337.15
  6. Step 6: Final answer
    x = 1,194.64

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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.