Home / 2,562.09-3,842.33-917.70

Finding the Fourth Proportional to 2,562.09, 3,842.33 and 917.70

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Solution

The fourth proportional to 2,562.09, 3,842.33 and 917.70 is: 1,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.09 : 3,842.33 = 917.70 : x
  2. Step 2: Convert to fraction form
    2,562.09/3,842.33 = 917.70/x
  3. Step 3: Cross multiply
    2,562.09x = 3,842.33 × 917.70
  4. Step 4: Simplify right side
    2,562.09x = 3,526,101.65
  5. Step 5: Solve for x
    x = 3,526,101.65/2,562.09
  6. Step 6: Final answer
    x = 1,376.26

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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.