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Finding the Fourth Proportional to 1,958, 2,702.04 and 1,792.76

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Solution

The fourth proportional to 1,958, 2,702.04 and 1,792.76 is: 2,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958 : 2,702.04 = 1,792.76 : x
  2. Step 2: Convert to fraction form
    1,958/2,702.04 = 1,792.76/x
  3. Step 3: Cross multiply
    1,958x = 2,702.04 × 1,792.76
  4. Step 4: Simplify right side
    1,958x = 4,844,109.23
  5. Step 5: Solve for x
    x = 4,844,109.23/1,958
  6. Step 6: Final answer
    x = 2,474.01

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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.