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Finding the Fourth Proportional to 1,836.57, 2,534.50 and 997.28

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Solution

The fourth proportional to 1,836.57, 2,534.50 and 997.28 is: 1,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.57 : 2,534.50 = 997.28 : x
  2. Step 2: Convert to fraction form
    1,836.57/2,534.50 = 997.28/x
  3. Step 3: Cross multiply
    1,836.57x = 2,534.50 × 997.28
  4. Step 4: Simplify right side
    1,836.57x = 2,527,598.63
  5. Step 5: Solve for x
    x = 2,527,598.63/1,836.57
  6. Step 6: Final answer
    x = 1,376.26

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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.