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Finding the Fourth Proportional to 4,829.44, 7,242.72 and 1,542.40

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Solution

The fourth proportional to 4,829.44, 7,242.72 and 1,542.40 is: 2,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.44 : 7,242.72 = 1,542.40 : x
  2. Step 2: Convert to fraction form
    4,829.44/7,242.72 = 1,542.40/x
  3. Step 3: Cross multiply
    4,829.44x = 7,242.72 × 1,542.40
  4. Step 4: Simplify right side
    4,829.44x = 11,171,171.33
  5. Step 5: Solve for x
    x = 11,171,171.33/4,829.44
  6. Step 6: Final answer
    x = 2,313.14

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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.