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Finding the Fourth Proportional to 1,974.71, 2,725.13 and 1,090.55

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Solution

The fourth proportional to 1,974.71, 2,725.13 and 1,090.55 is: 1,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.71 : 2,725.13 = 1,090.55 : x
  2. Step 2: Convert to fraction form
    1,974.71/2,725.13 = 1,090.55/x
  3. Step 3: Cross multiply
    1,974.71x = 2,725.13 × 1,090.55
  4. Step 4: Simplify right side
    1,974.71x = 2,971,890.52
  5. Step 5: Solve for x
    x = 2,971,890.52/1,974.71
  6. Step 6: Final answer
    x = 1,504.98

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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.