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Finding the Fourth Proportional to 1,586.96, 2,190.28 and 958

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Solution

The fourth proportional to 1,586.96, 2,190.28 and 958 is: 1,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.96 : 2,190.28 = 958 : x
  2. Step 2: Convert to fraction form
    1,586.96/2,190.28 = 958/x
  3. Step 3: Cross multiply
    1,586.96x = 2,190.28 × 958
  4. Step 4: Simplify right side
    1,586.96x = 2,098,288.24
  5. Step 5: Solve for x
    x = 2,098,288.24/1,586.96
  6. Step 6: Final answer
    x = 1,322.21

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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.