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Finding the Fourth Proportional to 2,316.01, 3,471.93 and 854.80

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Solution

The fourth proportional to 2,316.01, 3,471.93 and 854.80 is: 1,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.01 : 3,471.93 = 854.80 : x
  2. Step 2: Convert to fraction form
    2,316.01/3,471.93 = 854.80/x
  3. Step 3: Cross multiply
    2,316.01x = 3,471.93 × 854.80
  4. Step 4: Simplify right side
    2,316.01x = 2,967,805.76
  5. Step 5: Solve for x
    x = 2,967,805.76/2,316.01
  6. Step 6: Final answer
    x = 1,281.43

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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.