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Finding the Fourth Proportional to 2,364.66, 3,546.86 and 903.15

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Solution

The fourth proportional to 2,364.66, 3,546.86 and 903.15 is: 1,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.66 : 3,546.86 = 903.15 : x
  2. Step 2: Convert to fraction form
    2,364.66/3,546.86 = 903.15/x
  3. Step 3: Cross multiply
    2,364.66x = 3,546.86 × 903.15
  4. Step 4: Simplify right side
    2,364.66x = 3,203,342.09
  5. Step 5: Solve for x
    x = 3,203,342.09/2,364.66
  6. Step 6: Final answer
    x = 1,354.67

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Why These Related Problems?

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