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Finding the Fourth Proportional to 1,602.55, 2,211.80 and 1,273.48

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Solution

The fourth proportional to 1,602.55, 2,211.80 and 1,273.48 is: 1,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.55 : 2,211.80 = 1,273.48 : x
  2. Step 2: Convert to fraction form
    1,602.55/2,211.80 = 1,273.48/x
  3. Step 3: Cross multiply
    1,602.55x = 2,211.80 × 1,273.48
  4. Step 4: Simplify right side
    1,602.55x = 2,816,683.06
  5. Step 5: Solve for x
    x = 2,816,683.06/1,602.55
  6. Step 6: Final answer
    x = 1,757.63

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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.