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Finding the Fourth Proportional to 2,063.37, 2,846.14 and 1,564.92

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Solution

The fourth proportional to 2,063.37, 2,846.14 and 1,564.92 is: 2,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.37 : 2,846.14 = 1,564.92 : x
  2. Step 2: Convert to fraction form
    2,063.37/2,846.14 = 1,564.92/x
  3. Step 3: Cross multiply
    2,063.37x = 2,846.14 × 1,564.92
  4. Step 4: Simplify right side
    2,063.37x = 4,453,977.50
  5. Step 5: Solve for x
    x = 4,453,977.50/2,063.37
  6. Step 6: Final answer
    x = 2,158.59

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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.