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Finding the Fourth Proportional to 2,496.50, 3,420.16 and 2,403.02

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Solution

The fourth proportional to 2,496.50, 3,420.16 and 2,403.02 is: 3,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.50 : 3,420.16 = 2,403.02 : x
  2. Step 2: Convert to fraction form
    2,496.50/3,420.16 = 2,403.02/x
  3. Step 3: Cross multiply
    2,496.50x = 3,420.16 × 2,403.02
  4. Step 4: Simplify right side
    2,496.50x = 8,218,706.33
  5. Step 5: Solve for x
    x = 8,218,706.33/2,496.50
  6. Step 6: Final answer
    x = 3,292.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.