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Finding the Fourth Proportional to 1,586.95, 2,379.37 and 857.05

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Solution

The fourth proportional to 1,586.95, 2,379.37 and 857.05 is: 1,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.95 : 2,379.37 = 857.05 : x
  2. Step 2: Convert to fraction form
    1,586.95/2,379.37 = 857.05/x
  3. Step 3: Cross multiply
    1,586.95x = 2,379.37 × 857.05
  4. Step 4: Simplify right side
    1,586.95x = 2,039,239.06
  5. Step 5: Solve for x
    x = 2,039,239.06/1,586.95
  6. Step 6: Final answer
    x = 1,285.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.