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Finding the Fourth Proportional to 2,904.16, 4,354.62 and 955.84

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Solution

The fourth proportional to 2,904.16, 4,354.62 and 955.84 is: 1,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.16 : 4,354.62 = 955.84 : x
  2. Step 2: Convert to fraction form
    2,904.16/4,354.62 = 955.84/x
  3. Step 3: Cross multiply
    2,904.16x = 4,354.62 × 955.84
  4. Step 4: Simplify right side
    2,904.16x = 4,162,319.98
  5. Step 5: Solve for x
    x = 4,162,319.98/2,904.16
  6. Step 6: Final answer
    x = 1,433.23

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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.