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Finding the Fourth Proportional to 2,788.29, 4,182.32 and 840.44

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Solution

The fourth proportional to 2,788.29, 4,182.32 and 840.44 is: 1,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.29 : 4,182.32 = 840.44 : x
  2. Step 2: Convert to fraction form
    2,788.29/4,182.32 = 840.44/x
  3. Step 3: Cross multiply
    2,788.29x = 4,182.32 × 840.44
  4. Step 4: Simplify right side
    2,788.29x = 3,514,989.02
  5. Step 5: Solve for x
    x = 3,514,989.02/2,788.29
  6. Step 6: Final answer
    x = 1,260.63

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1.5x scale

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.