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Finding the Fourth Proportional to 2,403.20, 3,604.80 and 2,014.40

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Solution

The fourth proportional to 2,403.20, 3,604.80 and 2,014.40 is: 3,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.20 : 3,604.80 = 2,014.40 : x
  2. Step 2: Convert to fraction form
    2,403.20/3,604.80 = 2,014.40/x
  3. Step 3: Cross multiply
    2,403.20x = 3,604.80 × 2,014.40
  4. Step 4: Simplify right side
    2,403.20x = 7,261,509.12
  5. Step 5: Solve for x
    x = 7,261,509.12/2,403.20
  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.