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Finding the Fourth Proportional to 2,287.07, 3,430.60 and 555.69

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Solution

The fourth proportional to 2,287.07, 3,430.60 and 555.69 is: 833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.07 : 3,430.60 = 555.69 : x
  2. Step 2: Convert to fraction form
    2,287.07/3,430.60 = 555.69/x
  3. Step 3: Cross multiply
    2,287.07x = 3,430.60 × 555.69
  4. Step 4: Simplify right side
    2,287.07x = 1,906,347.34
  5. Step 5: Solve for x
    x = 1,906,347.34/2,287.07
  6. Step 6: Final answer
    x = 833.53

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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.