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Finding the Fourth Proportional to 2,906.30, 4,359.64 and 958.52

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Solution

The fourth proportional to 2,906.30, 4,359.64 and 958.52 is: 1,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.30 : 4,359.64 = 958.52 : x
  2. Step 2: Convert to fraction form
    2,906.30/4,359.64 = 958.52/x
  3. Step 3: Cross multiply
    2,906.30x = 4,359.64 × 958.52
  4. Step 4: Simplify right side
    2,906.30x = 4,178,802.13
  5. Step 5: Solve for x
    x = 4,178,802.13/2,906.30
  6. Step 6: Final answer
    x = 1,437.84

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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.