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Finding the Fourth Proportional to 2,890.56, 3,989.01 and 1,564.29

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Solution

The fourth proportional to 2,890.56, 3,989.01 and 1,564.29 is: 2,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.56 : 3,989.01 = 1,564.29 : x
  2. Step 2: Convert to fraction form
    2,890.56/3,989.01 = 1,564.29/x
  3. Step 3: Cross multiply
    2,890.56x = 3,989.01 × 1,564.29
  4. Step 4: Simplify right side
    2,890.56x = 6,239,968.45
  5. Step 5: Solve for x
    x = 6,239,968.45/2,890.56
  6. Step 6: Final answer
    x = 2,158.74

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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.