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Finding the Fourth Proportional to 2,109.52, 2,911.31 and 1,225

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Solution

The fourth proportional to 2,109.52, 2,911.31 and 1,225 is: 1,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.52 : 2,911.31 = 1,225 : x
  2. Step 2: Convert to fraction form
    2,109.52/2,911.31 = 1,225/x
  3. Step 3: Cross multiply
    2,109.52x = 2,911.31 × 1,225
  4. Step 4: Simplify right side
    2,109.52x = 3,566,354.75
  5. Step 5: Solve for x
    x = 3,566,354.75/2,109.52
  6. Step 6: Final answer
    x = 1,690.60

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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.