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Finding the Fourth Proportional to 1,566.85, 2,162.14 and 858.58

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Solution

The fourth proportional to 1,566.85, 2,162.14 and 858.58 is: 1,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.85 : 2,162.14 = 858.58 : x
  2. Step 2: Convert to fraction form
    1,566.85/2,162.14 = 858.58/x
  3. Step 3: Cross multiply
    1,566.85x = 2,162.14 × 858.58
  4. Step 4: Simplify right side
    1,566.85x = 1,856,373.94
  5. Step 5: Solve for x
    x = 1,856,373.94/1,566.85
  6. Step 6: Final answer
    x = 1,184.78

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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.