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Finding the Fourth Proportional to 2,197, 3,032.58 and 1,577.80

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Solution

The fourth proportional to 2,197, 3,032.58 and 1,577.80 is: 2,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197 : 3,032.58 = 1,577.80 : x
  2. Step 2: Convert to fraction form
    2,197/3,032.58 = 1,577.80/x
  3. Step 3: Cross multiply
    2,197x = 3,032.58 × 1,577.80
  4. Step 4: Simplify right side
    2,197x = 4,784,804.72
  5. Step 5: Solve for x
    x = 4,784,804.72/2,197
  6. Step 6: Final answer
    x = 2,177.88

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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.