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Finding the Fourth Proportional to 2,354.53, 3,256.98 and 2,194.96

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Solution

The fourth proportional to 2,354.53, 3,256.98 and 2,194.96 is: 3,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.53 : 3,256.98 = 2,194.96 : x
  2. Step 2: Convert to fraction form
    2,354.53/3,256.98 = 2,194.96/x
  3. Step 3: Cross multiply
    2,354.53x = 3,256.98 × 2,194.96
  4. Step 4: Simplify right side
    2,354.53x = 7,148,924.54
  5. Step 5: Solve for x
    x = 7,148,924.54/2,354.53
  6. Step 6: Final answer
    x = 3,036.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.