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Finding the Fourth Proportional to 2,287.16, 3,430.70 and 555.72

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Solution

The fourth proportional to 2,287.16, 3,430.70 and 555.72 is: 833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.16 : 3,430.70 = 555.72 : x
  2. Step 2: Convert to fraction form
    2,287.16/3,430.70 = 555.72/x
  3. Step 3: Cross multiply
    2,287.16x = 3,430.70 × 555.72
  4. Step 4: Simplify right side
    2,287.16x = 1,906,508.60
  5. Step 5: Solve for x
    x = 1,906,508.60/2,287.16
  6. Step 6: Final answer
    x = 833.57

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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.