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Finding the Fourth Proportional to 1,416.01, 1,951.37 and 943.37

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Solution

The fourth proportional to 1,416.01, 1,951.37 and 943.37 is: 1,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.01 : 1,951.37 = 943.37 : x
  2. Step 2: Convert to fraction form
    1,416.01/1,951.37 = 943.37/x
  3. Step 3: Cross multiply
    1,416.01x = 1,951.37 × 943.37
  4. Step 4: Simplify right side
    1,416.01x = 1,840,864.08
  5. Step 5: Solve for x
    x = 1,840,864.08/1,416.01
  6. Step 6: Final answer
    x = 1,300.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.