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Finding the Fourth Proportional to 2,342.99, 3,512.91 and 1,156.88

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Solution

The fourth proportional to 2,342.99, 3,512.91 and 1,156.88 is: 1,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.99 : 3,512.91 = 1,156.88 : x
  2. Step 2: Convert to fraction form
    2,342.99/3,512.91 = 1,156.88/x
  3. Step 3: Cross multiply
    2,342.99x = 3,512.91 × 1,156.88
  4. Step 4: Simplify right side
    2,342.99x = 4,064,015.32
  5. Step 5: Solve for x
    x = 4,064,015.32/2,342.99
  6. Step 6: Final answer
    x = 1,734.54

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1.5x scale

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.