Home / 1,440.09-1,985.38-1,409.04

Finding the Fourth Proportional to 1,440.09, 1,985.38 and 1,409.04

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Solution

The fourth proportional to 1,440.09, 1,985.38 and 1,409.04 is: 1,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.09 : 1,985.38 = 1,409.04 : x
  2. Step 2: Convert to fraction form
    1,440.09/1,985.38 = 1,409.04/x
  3. Step 3: Cross multiply
    1,440.09x = 1,985.38 × 1,409.04
  4. Step 4: Simplify right side
    1,440.09x = 2,797,476.31
  5. Step 5: Solve for x
    x = 2,797,476.31/1,440.09
  6. Step 6: Final answer
    x = 1,942.57

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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.