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Finding the Fourth Proportional to 1,296.78, 1,934.74 and 1,283.02

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Solution

The fourth proportional to 1,296.78, 1,934.74 and 1,283.02 is: 1,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.78 : 1,934.74 = 1,283.02 : x
  2. Step 2: Convert to fraction form
    1,296.78/1,934.74 = 1,283.02/x
  3. Step 3: Cross multiply
    1,296.78x = 1,934.74 × 1,283.02
  4. Step 4: Simplify right side
    1,296.78x = 2,482,310.11
  5. Step 5: Solve for x
    x = 2,482,310.11/1,296.78
  6. Step 6: Final answer
    x = 1,914.21

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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.