Home / 1,601.02-2,401.93-446.77

Finding the Fourth Proportional to 1,601.02, 2,401.93 and 446.77

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Solution

The fourth proportional to 1,601.02, 2,401.93 and 446.77 is: 670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.02 : 2,401.93 = 446.77 : x
  2. Step 2: Convert to fraction form
    1,601.02/2,401.93 = 446.77/x
  3. Step 3: Cross multiply
    1,601.02x = 2,401.93 × 446.77
  4. Step 4: Simplify right side
    1,601.02x = 1,073,099.06
  5. Step 5: Solve for x
    x = 1,073,099.06/1,601.02
  6. Step 6: Final answer
    x = 670.26

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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.