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Finding the Fourth Proportional to 1,958.19, 2,937.28 and 803.13

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Solution

The fourth proportional to 1,958.19, 2,937.28 and 803.13 is: 1,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.19 : 2,937.28 = 803.13 : x
  2. Step 2: Convert to fraction form
    1,958.19/2,937.28 = 803.13/x
  3. Step 3: Cross multiply
    1,958.19x = 2,937.28 × 803.13
  4. Step 4: Simplify right side
    1,958.19x = 2,359,017.69
  5. Step 5: Solve for x
    x = 2,359,017.69/1,958.19
  6. Step 6: Final answer
    x = 1,204.69

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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.