Home / 1,601.16-2,402.14-446.91

Finding the Fourth Proportional to 1,601.16, 2,402.14 and 446.91

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Solution

The fourth proportional to 1,601.16, 2,402.14 and 446.91 is: 670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.16 : 2,402.14 = 446.91 : x
  2. Step 2: Convert to fraction form
    1,601.16/2,402.14 = 446.91/x
  3. Step 3: Cross multiply
    1,601.16x = 2,402.14 × 446.91
  4. Step 4: Simplify right side
    1,601.16x = 1,073,531.10
  5. Step 5: Solve for x
    x = 1,073,531.10/1,601.16
  6. Step 6: Final answer
    x = 670.47

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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.