Home / 1,537.03-2,305.61-924.67

Finding the Fourth Proportional to 1,537.03, 2,305.61 and 924.67

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Solution

The fourth proportional to 1,537.03, 2,305.61 and 924.67 is: 1,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.03 : 2,305.61 = 924.67 : x
  2. Step 2: Convert to fraction form
    1,537.03/2,305.61 = 924.67/x
  3. Step 3: Cross multiply
    1,537.03x = 2,305.61 × 924.67
  4. Step 4: Simplify right side
    1,537.03x = 2,131,922.36
  5. Step 5: Solve for x
    x = 2,131,922.36/1,537.03
  6. Step 6: Final answer
    x = 1,387.04

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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.