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Finding the Fourth Proportional to 1,586.98, 2,190.36 and 997.12

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Solution

The fourth proportional to 1,586.98, 2,190.36 and 997.12 is: 1,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.98 : 2,190.36 = 997.12 : x
  2. Step 2: Convert to fraction form
    1,586.98/2,190.36 = 997.12/x
  3. Step 3: Cross multiply
    1,586.98x = 2,190.36 × 997.12
  4. Step 4: Simplify right side
    1,586.98x = 2,184,051.76
  5. Step 5: Solve for x
    x = 2,184,051.76/1,586.98
  6. Step 6: Final answer
    x = 1,376.23

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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.