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Finding the Fourth Proportional to 3,241.48, 4,861.48 and 1,509.16

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Solution

The fourth proportional to 3,241.48, 4,861.48 and 1,509.16 is: 2,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.48 : 4,861.48 = 1,509.16 : x
  2. Step 2: Convert to fraction form
    3,241.48/4,861.48 = 1,509.16/x
  3. Step 3: Cross multiply
    3,241.48x = 4,861.48 × 1,509.16
  4. Step 4: Simplify right side
    3,241.48x = 7,336,751.16
  5. Step 5: Solve for x
    x = 7,336,751.16/3,241.48
  6. Step 6: Final answer
    x = 2,263.40

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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.