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Finding the Fourth Proportional to 2,106.93, 3,160.02 and 567.93

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Solution

The fourth proportional to 2,106.93, 3,160.02 and 567.93 is: 851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.93 : 3,160.02 = 567.93 : x
  2. Step 2: Convert to fraction form
    2,106.93/3,160.02 = 567.93/x
  3. Step 3: Cross multiply
    2,106.93x = 3,160.02 × 567.93
  4. Step 4: Simplify right side
    2,106.93x = 1,794,670.16
  5. Step 5: Solve for x
    x = 1,794,670.16/2,106.93
  6. Step 6: Final answer
    x = 851.79

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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.