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Finding the Fourth Proportional to 1,957.02, 2,700.75 and 1,072.83

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Solution

The fourth proportional to 1,957.02, 2,700.75 and 1,072.83 is: 1,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.02 : 2,700.75 = 1,072.83 : x
  2. Step 2: Convert to fraction form
    1,957.02/2,700.75 = 1,072.83/x
  3. Step 3: Cross multiply
    1,957.02x = 2,700.75 × 1,072.83
  4. Step 4: Simplify right side
    1,957.02x = 2,897,445.62
  5. Step 5: Solve for x
    x = 2,897,445.62/1,957.02
  6. Step 6: Final answer
    x = 1,480.54

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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.