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Finding the Fourth Proportional to 2,316.27, 3,472.25 and 855.03

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Solution

The fourth proportional to 2,316.27, 3,472.25 and 855.03 is: 1,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.27 : 3,472.25 = 855.03 : x
  2. Step 2: Convert to fraction form
    2,316.27/3,472.25 = 855.03/x
  3. Step 3: Cross multiply
    2,316.27x = 3,472.25 × 855.03
  4. Step 4: Simplify right side
    2,316.27x = 2,968,873.64
  5. Step 5: Solve for x
    x = 2,968,873.64/2,316.27
  6. Step 6: Final answer
    x = 1,281.75

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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.