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Finding the Fourth Proportional to 2,327.60, 3,491.40 and 2,014.40

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Solution

The fourth proportional to 2,327.60, 3,491.40 and 2,014.40 is: 3,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.60 : 3,491.40 = 2,014.40 : x
  2. Step 2: Convert to fraction form
    2,327.60/3,491.40 = 2,014.40/x
  3. Step 3: Cross multiply
    2,327.60x = 3,491.40 × 2,014.40
  4. Step 4: Simplify right side
    2,327.60x = 7,033,076.16
  5. Step 5: Solve for x
    x = 7,033,076.16/2,327.60
  6. Step 6: Final answer
    x = 3,021.60

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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.