Home / 1,461.14-2,191.20-583.37

Finding the Fourth Proportional to 1,461.14, 2,191.20 and 583.37

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Solution

The fourth proportional to 1,461.14, 2,191.20 and 583.37 is: 874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.14 : 2,191.20 = 583.37 : x
  2. Step 2: Convert to fraction form
    1,461.14/2,191.20 = 583.37/x
  3. Step 3: Cross multiply
    1,461.14x = 2,191.20 × 583.37
  4. Step 4: Simplify right side
    1,461.14x = 1,278,269.39
  5. Step 5: Solve for x
    x = 1,278,269.39/1,461.14
  6. Step 6: Final answer
    x = 874.85

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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.