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Finding the Fourth Proportional to 3,004.80, 4,144.80 and 2,509.76

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Solution

The fourth proportional to 3,004.80, 4,144.80 and 2,509.76 is: 3,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.80 : 4,144.80 = 2,509.76 : x
  2. Step 2: Convert to fraction form
    3,004.80/4,144.80 = 2,509.76/x
  3. Step 3: Cross multiply
    3,004.80x = 4,144.80 × 2,509.76
  4. Step 4: Simplify right side
    3,004.80x = 10,402,453.25
  5. Step 5: Solve for x
    x = 10,402,453.25/3,004.80
  6. Step 6: Final answer
    x = 3,461.95

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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.