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Finding the Fourth Proportional to 1,275.12, 1,902.27 and 1,239.84

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Solution

The fourth proportional to 1,275.12, 1,902.27 and 1,239.84 is: 1,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.12 : 1,902.27 = 1,239.84 : x
  2. Step 2: Convert to fraction form
    1,275.12/1,902.27 = 1,239.84/x
  3. Step 3: Cross multiply
    1,275.12x = 1,902.27 × 1,239.84
  4. Step 4: Simplify right side
    1,275.12x = 2,358,510.44
  5. Step 5: Solve for x
    x = 2,358,510.44/1,275.12
  6. Step 6: Final answer
    x = 1,849.64

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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.