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Finding the Fourth Proportional to 2,287.23, 3,430.80 and 555.84

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Solution

The fourth proportional to 2,287.23, 3,430.80 and 555.84 is: 833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.23 : 3,430.80 = 555.84 : x
  2. Step 2: Convert to fraction form
    2,287.23/3,430.80 = 555.84/x
  3. Step 3: Cross multiply
    2,287.23x = 3,430.80 × 555.84
  4. Step 4: Simplify right side
    2,287.23x = 1,906,975.87
  5. Step 5: Solve for x
    x = 1,906,975.87/2,287.23
  6. Step 6: Final answer
    x = 833.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.