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Finding the Fourth Proportional to 2,890.66, 3,989.12 and 1,564.37

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Solution

The fourth proportional to 2,890.66, 3,989.12 and 1,564.37 is: 2,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.66 : 3,989.12 = 1,564.37 : x
  2. Step 2: Convert to fraction form
    2,890.66/3,989.12 = 1,564.37/x
  3. Step 3: Cross multiply
    2,890.66x = 3,989.12 × 1,564.37
  4. Step 4: Simplify right side
    2,890.66x = 6,240,459.65
  5. Step 5: Solve for x
    x = 6,240,459.65/2,890.66
  6. Step 6: Final answer
    x = 2,158.84

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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.