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Finding the Fourth Proportional to 2,609.50, 3,914.64 and 854.07

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Solution

The fourth proportional to 2,609.50, 3,914.64 and 854.07 is: 1,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.50 : 3,914.64 = 854.07 : x
  2. Step 2: Convert to fraction form
    2,609.50/3,914.64 = 854.07/x
  3. Step 3: Cross multiply
    2,609.50x = 3,914.64 × 854.07
  4. Step 4: Simplify right side
    2,609.50x = 3,343,376.58
  5. Step 5: Solve for x
    x = 3,343,376.58/2,609.50
  6. Step 6: Final answer
    x = 1,281.23

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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.