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Finding the Fourth Proportional to 1,402.30, 2,101.83 and 940.40

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Solution

The fourth proportional to 1,402.30, 2,101.83 and 940.40 is: 1,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.30 : 2,101.83 = 940.40 : x
  2. Step 2: Convert to fraction form
    1,402.30/2,101.83 = 940.40/x
  3. Step 3: Cross multiply
    1,402.30x = 2,101.83 × 940.40
  4. Step 4: Simplify right side
    1,402.30x = 1,976,560.93
  5. Step 5: Solve for x
    x = 1,976,560.93/1,402.30
  6. Step 6: Final answer
    x = 1,409.51

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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.