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Finding the Fourth Proportional to 2,431.54, 3,354.54 and 1,766.92

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Solution

The fourth proportional to 2,431.54, 3,354.54 and 1,766.92 is: 2,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.54 : 3,354.54 = 1,766.92 : x
  2. Step 2: Convert to fraction form
    2,431.54/3,354.54 = 1,766.92/x
  3. Step 3: Cross multiply
    2,431.54x = 3,354.54 × 1,766.92
  4. Step 4: Simplify right side
    2,431.54x = 5,927,203.82
  5. Step 5: Solve for x
    x = 5,927,203.82/2,431.54
  6. Step 6: Final answer
    x = 2,437.63

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1.5x scale

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.