Home / 1,420.93-2,131.61-446.94

Finding the Fourth Proportional to 1,420.93, 2,131.61 and 446.94

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Solution

The fourth proportional to 1,420.93, 2,131.61 and 446.94 is: 670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.93 : 2,131.61 = 446.94 : x
  2. Step 2: Convert to fraction form
    1,420.93/2,131.61 = 446.94/x
  3. Step 3: Cross multiply
    1,420.93x = 2,131.61 × 446.94
  4. Step 4: Simplify right side
    1,420.93x = 952,701.77
  5. Step 5: Solve for x
    x = 952,701.77/1,420.93
  6. Step 6: Final answer
    x = 670.48

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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.