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Finding the Fourth Proportional to 1,849.31, 2,774.12 and 617.00

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Solution

The fourth proportional to 1,849.31, 2,774.12 and 617.00 is: 925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.31 : 2,774.12 = 617.00 : x
  2. Step 2: Convert to fraction form
    1,849.31/2,774.12 = 617.00/x
  3. Step 3: Cross multiply
    1,849.31x = 2,774.12 × 617.00
  4. Step 4: Simplify right side
    1,849.31x = 1,711,615.08
  5. Step 5: Solve for x
    x = 1,711,615.08/1,849.31
  6. Step 6: Final answer
    x = 925.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.