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Finding the Fourth Proportional to 1,890.50, 2,609.64 and 1,840.82

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Solution

The fourth proportional to 1,890.50, 2,609.64 and 1,840.82 is: 2,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.50 : 2,609.64 = 1,840.82 : x
  2. Step 2: Convert to fraction form
    1,890.50/2,609.64 = 1,840.82/x
  3. Step 3: Cross multiply
    1,890.50x = 2,609.64 × 1,840.82
  4. Step 4: Simplify right side
    1,890.50x = 4,803,877.50
  5. Step 5: Solve for x
    x = 4,803,877.50/1,890.50
  6. Step 6: Final answer
    x = 2,541.06

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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.