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Finding the Fourth Proportional to 4,948.09, 7,420.82 and 1,660.50

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Solution

The fourth proportional to 4,948.09, 7,420.82 and 1,660.50 is: 2,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.09 : 7,420.82 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    4,948.09/7,420.82 = 1,660.50/x
  3. Step 3: Cross multiply
    4,948.09x = 7,420.82 × 1,660.50
  4. Step 4: Simplify right side
    4,948.09x = 12,322,263.31
  5. Step 5: Solve for x
    x = 12,322,263.31/4,948.09
  6. Step 6: Final answer
    x = 2,490.31

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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.