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Finding the Fourth Proportional to 1,558.46, 2,150.70 and 859.84

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Solution

The fourth proportional to 1,558.46, 2,150.70 and 859.84 is: 1,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.46 : 2,150.70 = 859.84 : x
  2. Step 2: Convert to fraction form
    1,558.46/2,150.70 = 859.84/x
  3. Step 3: Cross multiply
    1,558.46x = 2,150.70 × 859.84
  4. Step 4: Simplify right side
    1,558.46x = 1,849,257.89
  5. Step 5: Solve for x
    x = 1,849,257.89/1,558.46
  6. Step 6: Final answer
    x = 1,186.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.