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Finding the Fourth Proportional to 1,602.87, 2,211.87 and 1,034.71

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Solution

The fourth proportional to 1,602.87, 2,211.87 and 1,034.71 is: 1,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.87 : 2,211.87 = 1,034.71 : x
  2. Step 2: Convert to fraction form
    1,602.87/2,211.87 = 1,034.71/x
  3. Step 3: Cross multiply
    1,602.87x = 2,211.87 × 1,034.71
  4. Step 4: Simplify right side
    1,602.87x = 2,288,644.01
  5. Step 5: Solve for x
    x = 2,288,644.01/1,602.87
  6. Step 6: Final answer
    x = 1,427.84

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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.