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Finding the Fourth Proportional to 2,152.94, 2,971.15 and 1,686.38

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Solution

The fourth proportional to 2,152.94, 2,971.15 and 1,686.38 is: 2,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.94 : 2,971.15 = 1,686.38 : x
  2. Step 2: Convert to fraction form
    2,152.94/2,971.15 = 1,686.38/x
  3. Step 3: Cross multiply
    2,152.94x = 2,971.15 × 1,686.38
  4. Step 4: Simplify right side
    2,152.94x = 5,010,468.87
  5. Step 5: Solve for x
    x = 5,010,468.87/2,152.94
  6. Step 6: Final answer
    x = 2,327.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.