Home / 1,705.20-2,353.29-949.10

Finding the Fourth Proportional to 1,705.20, 2,353.29 and 949.10

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Solution

The fourth proportional to 1,705.20, 2,353.29 and 949.10 is: 1,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.20 : 2,353.29 = 949.10 : x
  2. Step 2: Convert to fraction form
    1,705.20/2,353.29 = 949.10/x
  3. Step 3: Cross multiply
    1,705.20x = 2,353.29 × 949.10
  4. Step 4: Simplify right side
    1,705.20x = 2,233,495.77
  5. Step 5: Solve for x
    x = 2,233,495.77/1,705.20
  6. Step 6: Final answer
    x = 1,309.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.