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Finding the Fourth Proportional to 2,866.56, 4,300.22 and 1,405.76

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Solution

The fourth proportional to 2,866.56, 4,300.22 and 1,405.76 is: 2,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.56 : 4,300.22 = 1,405.76 : x
  2. Step 2: Convert to fraction form
    2,866.56/4,300.22 = 1,405.76/x
  3. Step 3: Cross multiply
    2,866.56x = 4,300.22 × 1,405.76
  4. Step 4: Simplify right side
    2,866.56x = 6,045,077.27
  5. Step 5: Solve for x
    x = 6,045,077.27/2,866.56
  6. Step 6: Final answer
    x = 2,108.83

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