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Finding the Fourth Proportional to 1,840.80, 2,761.50 and 916.40

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Solution

The fourth proportional to 1,840.80, 2,761.50 and 916.40 is: 1,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.80 : 2,761.50 = 916.40 : x
  2. Step 2: Convert to fraction form
    1,840.80/2,761.50 = 916.40/x
  3. Step 3: Cross multiply
    1,840.80x = 2,761.50 × 916.40
  4. Step 4: Simplify right side
    1,840.80x = 2,530,638.60
  5. Step 5: Solve for x
    x = 2,530,638.60/1,840.80
  6. Step 6: Final answer
    x = 1,374.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.