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Finding the Fourth Proportional to 4,894.32, 7,342.32 and 1,606.48

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Solution

The fourth proportional to 4,894.32, 7,342.32 and 1,606.48 is: 2,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.32 : 7,342.32 = 1,606.48 : x
  2. Step 2: Convert to fraction form
    4,894.32/7,342.32 = 1,606.48/x
  3. Step 3: Cross multiply
    4,894.32x = 7,342.32 × 1,606.48
  4. Step 4: Simplify right side
    4,894.32x = 11,795,290.23
  5. Step 5: Solve for x
    x = 11,795,290.23/4,894.32
  6. Step 6: Final answer
    x = 2,410.00

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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.