Home / 1,461.33-2,190.93-583.57

Finding the Fourth Proportional to 1,461.33, 2,190.93 and 583.57

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Solution

The fourth proportional to 1,461.33, 2,190.93 and 583.57 is: 874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.33 : 2,190.93 = 583.57 : x
  2. Step 2: Convert to fraction form
    1,461.33/2,190.93 = 583.57/x
  3. Step 3: Cross multiply
    1,461.33x = 2,190.93 × 583.57
  4. Step 4: Simplify right side
    1,461.33x = 1,278,561.02
  5. Step 5: Solve for x
    x = 1,278,561.02/1,461.33
  6. Step 6: Final answer
    x = 874.93

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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.