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Finding the Fourth Proportional to 1,927.55, 2,890.34 and 610.88

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Solution

The fourth proportional to 1,927.55, 2,890.34 and 610.88 is: 916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.55 : 2,890.34 = 610.88 : x
  2. Step 2: Convert to fraction form
    1,927.55/2,890.34 = 610.88/x
  3. Step 3: Cross multiply
    1,927.55x = 2,890.34 × 610.88
  4. Step 4: Simplify right side
    1,927.55x = 1,765,635.68
  5. Step 5: Solve for x
    x = 1,765,635.68/1,927.55
  6. Step 6: Final answer
    x = 916.00

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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.