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Finding the Fourth Proportional to 2,132.84, 2,940.90 and 1,738.64

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Solution

The fourth proportional to 2,132.84, 2,940.90 and 1,738.64 is: 2,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.84 : 2,940.90 = 1,738.64 : x
  2. Step 2: Convert to fraction form
    2,132.84/2,940.90 = 1,738.64/x
  3. Step 3: Cross multiply
    2,132.84x = 2,940.90 × 1,738.64
  4. Step 4: Simplify right side
    2,132.84x = 5,113,166.38
  5. Step 5: Solve for x
    x = 5,113,166.38/2,132.84
  6. Step 6: Final answer
    x = 2,397.35

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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.