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Finding the Fourth Proportional to 2,890.25, 3,988.52 and 1,563.93

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Solution

The fourth proportional to 2,890.25, 3,988.52 and 1,563.93 is: 2,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.25 : 3,988.52 = 1,563.93 : x
  2. Step 2: Convert to fraction form
    2,890.25/3,988.52 = 1,563.93/x
  3. Step 3: Cross multiply
    2,890.25x = 3,988.52 × 1,563.93
  4. Step 4: Simplify right side
    2,890.25x = 6,237,738.32
  5. Step 5: Solve for x
    x = 6,237,738.32/2,890.25
  6. Step 6: Final answer
    x = 2,158.20

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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.