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Finding the Fourth Proportional to 3,441.64, 4,746.54 and 2,322.40

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Solution

The fourth proportional to 3,441.64, 4,746.54 and 2,322.40 is: 3,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.64 : 4,746.54 = 2,322.40 : x
  2. Step 2: Convert to fraction form
    3,441.64/4,746.54 = 2,322.40/x
  3. Step 3: Cross multiply
    3,441.64x = 4,746.54 × 2,322.40
  4. Step 4: Simplify right side
    3,441.64x = 11,023,364.50
  5. Step 5: Solve for x
    x = 11,023,364.50/3,441.64
  6. Step 6: Final answer
    x = 3,202.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.