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Finding the Fourth Proportional to 1,515.31, 2,090.97 and 925.72

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Solution

The fourth proportional to 1,515.31, 2,090.97 and 925.72 is: 1,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.31 : 2,090.97 = 925.72 : x
  2. Step 2: Convert to fraction form
    1,515.31/2,090.97 = 925.72/x
  3. Step 3: Cross multiply
    1,515.31x = 2,090.97 × 925.72
  4. Step 4: Simplify right side
    1,515.31x = 1,935,647.52
  5. Step 5: Solve for x
    x = 1,935,647.52/1,515.31
  6. Step 6: Final answer
    x = 1,277.40

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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.