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Finding the Fourth Proportional to 2,287.13, 3,430.71 and 555.75

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Solution

The fourth proportional to 2,287.13, 3,430.71 and 555.75 is: 833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.13 : 3,430.71 = 555.75 : x
  2. Step 2: Convert to fraction form
    2,287.13/3,430.71 = 555.75/x
  3. Step 3: Cross multiply
    2,287.13x = 3,430.71 × 555.75
  4. Step 4: Simplify right side
    2,287.13x = 1,906,617.08
  5. Step 5: Solve for x
    x = 1,906,617.08/2,287.13
  6. Step 6: Final answer
    x = 833.63

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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.