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Finding the Fourth Proportional to 2,465.56, 3,698.50 and 822.26

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Solution

The fourth proportional to 2,465.56, 3,698.50 and 822.26 is: 1,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.56 : 3,698.50 = 822.26 : x
  2. Step 2: Convert to fraction form
    2,465.56/3,698.50 = 822.26/x
  3. Step 3: Cross multiply
    2,465.56x = 3,698.50 × 822.26
  4. Step 4: Simplify right side
    2,465.56x = 3,041,128.61
  5. Step 5: Solve for x
    x = 3,041,128.61/2,465.56
  6. Step 6: Final answer
    x = 1,233.44

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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.