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Finding the Fourth Proportional to 2,148.80, 2,964.48 and 1,650.56

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Solution

The fourth proportional to 2,148.80, 2,964.48 and 1,650.56 is: 2,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.80 : 2,964.48 = 1,650.56 : x
  2. Step 2: Convert to fraction form
    2,148.80/2,964.48 = 1,650.56/x
  3. Step 3: Cross multiply
    2,148.80x = 2,964.48 × 1,650.56
  4. Step 4: Simplify right side
    2,148.80x = 4,893,052.11
  5. Step 5: Solve for x
    x = 4,893,052.11/2,148.80
  6. Step 6: Final answer
    x = 2,277.11

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