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Finding the Fourth Proportional to 2,108.64, 3,162.72 and 954

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Solution

The fourth proportional to 2,108.64, 3,162.72 and 954 is: 1,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.64 : 3,162.72 = 954 : x
  2. Step 2: Convert to fraction form
    2,108.64/3,162.72 = 954/x
  3. Step 3: Cross multiply
    2,108.64x = 3,162.72 × 954
  4. Step 4: Simplify right side
    2,108.64x = 3,017,234.88
  5. Step 5: Solve for x
    x = 3,017,234.88/2,108.64
  6. Step 6: Final answer
    x = 1,430.89

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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.