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Finding the Fourth Proportional to 2,370.69, 3,572.10 and 1,968.83

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Solution

The fourth proportional to 2,370.69, 3,572.10 and 1,968.83 is: 2,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.69 : 3,572.10 = 1,968.83 : x
  2. Step 2: Convert to fraction form
    2,370.69/3,572.10 = 1,968.83/x
  3. Step 3: Cross multiply
    2,370.69x = 3,572.10 × 1,968.83
  4. Step 4: Simplify right side
    2,370.69x = 7,032,857.64
  5. Step 5: Solve for x
    x = 7,032,857.64/2,370.69
  6. Step 6: Final answer
    x = 2,966.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.