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Finding the Fourth Proportional to 1,274.30, 1,902.21 and 1,102.07

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Solution

The fourth proportional to 1,274.30, 1,902.21 and 1,102.07 is: 1,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.30 : 1,902.21 = 1,102.07 : x
  2. Step 2: Convert to fraction form
    1,274.30/1,902.21 = 1,102.07/x
  3. Step 3: Cross multiply
    1,274.30x = 1,902.21 × 1,102.07
  4. Step 4: Simplify right side
    1,274.30x = 2,096,359.06
  5. Step 5: Solve for x
    x = 2,096,359.06/1,274.30
  6. Step 6: Final answer
    x = 1,645.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.