Home / 1,430.19-2,141.64-941.76

Finding the Fourth Proportional to 1,430.19, 2,141.64 and 941.76

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Solution

The fourth proportional to 1,430.19, 2,141.64 and 941.76 is: 1,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.19 : 2,141.64 = 941.76 : x
  2. Step 2: Convert to fraction form
    1,430.19/2,141.64 = 941.76/x
  3. Step 3: Cross multiply
    1,430.19x = 2,141.64 × 941.76
  4. Step 4: Simplify right side
    1,430.19x = 2,016,910.89
  5. Step 5: Solve for x
    x = 2,016,910.89/1,430.19
  6. Step 6: Final answer
    x = 1,410.24

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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.