Home / 1,540.13-2,305.23-845.07

Finding the Fourth Proportional to 1,540.13, 2,305.23 and 845.07

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Solution

The fourth proportional to 1,540.13, 2,305.23 and 845.07 is: 1,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.13 : 2,305.23 = 845.07 : x
  2. Step 2: Convert to fraction form
    1,540.13/2,305.23 = 845.07/x
  3. Step 3: Cross multiply
    1,540.13x = 2,305.23 × 845.07
  4. Step 4: Simplify right side
    1,540.13x = 1,948,085.76
  5. Step 5: Solve for x
    x = 1,948,085.76/1,540.13
  6. Step 6: Final answer
    x = 1,264.89

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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.