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Finding the Fourth Proportional to 1,705.10, 2,353.43 and 997.27

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Solution

The fourth proportional to 1,705.10, 2,353.43 and 997.27 is: 1,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.10 : 2,353.43 = 997.27 : x
  2. Step 2: Convert to fraction form
    1,705.10/2,353.43 = 997.27/x
  3. Step 3: Cross multiply
    1,705.10x = 2,353.43 × 997.27
  4. Step 4: Simplify right side
    1,705.10x = 2,346,988.38
  5. Step 5: Solve for x
    x = 2,346,988.38/1,705.10
  6. Step 6: Final answer
    x = 1,376.46

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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.