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Finding the Fourth Proportional to 2,153.39, 2,970.05 and 1,367.69

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Solution

The fourth proportional to 2,153.39, 2,970.05 and 1,367.69 is: 1,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.39 : 2,970.05 = 1,367.69 : x
  2. Step 2: Convert to fraction form
    2,153.39/2,970.05 = 1,367.69/x
  3. Step 3: Cross multiply
    2,153.39x = 2,970.05 × 1,367.69
  4. Step 4: Simplify right side
    2,153.39x = 4,062,086.00
  5. Step 5: Solve for x
    x = 4,062,086.00/2,153.39
  6. Step 6: Final answer
    x = 1,886.37

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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.