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Finding the Fourth Proportional to 2,346.45, 3,522.24 and 1,728.24

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Solution

The fourth proportional to 2,346.45, 3,522.24 and 1,728.24 is: 2,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.45 : 3,522.24 = 1,728.24 : x
  2. Step 2: Convert to fraction form
    2,346.45/3,522.24 = 1,728.24/x
  3. Step 3: Cross multiply
    2,346.45x = 3,522.24 × 1,728.24
  4. Step 4: Simplify right side
    2,346.45x = 6,087,276.06
  5. Step 5: Solve for x
    x = 6,087,276.06/2,346.45
  6. Step 6: Final answer
    x = 2,594.25

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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.