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Finding the Fourth Proportional to 2,294.56, 3,441.84 and 1,887.58

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Solution

The fourth proportional to 2,294.56, 3,441.84 and 1,887.58 is: 2,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.56 : 3,441.84 = 1,887.58 : x
  2. Step 2: Convert to fraction form
    2,294.56/3,441.84 = 1,887.58/x
  3. Step 3: Cross multiply
    2,294.56x = 3,441.84 × 1,887.58
  4. Step 4: Simplify right side
    2,294.56x = 6,496,748.35
  5. Step 5: Solve for x
    x = 6,496,748.35/2,294.56
  6. Step 6: Final answer
    x = 2,831.37

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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.