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Finding the Fourth Proportional to 2,595.80, 3,893.33 and 840.58

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Solution

The fourth proportional to 2,595.80, 3,893.33 and 840.58 is: 1,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.80 : 3,893.33 = 840.58 : x
  2. Step 2: Convert to fraction form
    2,595.80/3,893.33 = 840.58/x
  3. Step 3: Cross multiply
    2,595.80x = 3,893.33 × 840.58
  4. Step 4: Simplify right side
    2,595.80x = 3,272,631.66
  5. Step 5: Solve for x
    x = 3,272,631.66/2,595.80
  6. Step 6: Final answer
    x = 1,260.74

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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.