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Finding the Fourth Proportional to 1,957.44, 2,949.88 and 1,834.40

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Solution

The fourth proportional to 1,957.44, 2,949.88 and 1,834.40 is: 2,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.44 : 2,949.88 = 1,834.40 : x
  2. Step 2: Convert to fraction form
    1,957.44/2,949.88 = 1,834.40/x
  3. Step 3: Cross multiply
    1,957.44x = 2,949.88 × 1,834.40
  4. Step 4: Simplify right side
    1,957.44x = 5,411,259.87
  5. Step 5: Solve for x
    x = 5,411,259.87/1,957.44
  6. Step 6: Final answer
    x = 2,764.46

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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.