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Finding the Fourth Proportional to 2,156.02, 2,973.92 and 1,493.24

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Solution

The fourth proportional to 2,156.02, 2,973.92 and 1,493.24 is: 2,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.02 : 2,973.92 = 1,493.24 : x
  2. Step 2: Convert to fraction form
    2,156.02/2,973.92 = 1,493.24/x
  3. Step 3: Cross multiply
    2,156.02x = 2,973.92 × 1,493.24
  4. Step 4: Simplify right side
    2,156.02x = 4,440,753.97
  5. Step 5: Solve for x
    x = 4,440,753.97/2,156.02
  6. Step 6: Final answer
    x = 2,059.70

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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.