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Finding the Fourth Proportional to 2,788.47, 4,182.84 and 840.15

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Solution

The fourth proportional to 2,788.47, 4,182.84 and 840.15 is: 1,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.47 : 4,182.84 = 840.15 : x
  2. Step 2: Convert to fraction form
    2,788.47/4,182.84 = 840.15/x
  3. Step 3: Cross multiply
    2,788.47x = 4,182.84 × 840.15
  4. Step 4: Simplify right side
    2,788.47x = 3,514,213.03
  5. Step 5: Solve for x
    x = 3,514,213.03/2,788.47
  6. Step 6: Final answer
    x = 1,260.27

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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.