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Finding the Fourth Proportional to 1,957.23, 2,700.91 and 1,072.98

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Solution

The fourth proportional to 1,957.23, 2,700.91 and 1,072.98 is: 1,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.23 : 2,700.91 = 1,072.98 : x
  2. Step 2: Convert to fraction form
    1,957.23/2,700.91 = 1,072.98/x
  3. Step 3: Cross multiply
    1,957.23x = 2,700.91 × 1,072.98
  4. Step 4: Simplify right side
    1,957.23x = 2,898,023.75
  5. Step 5: Solve for x
    x = 2,898,023.75/1,957.23
  6. Step 6: Final answer
    x = 1,480.68

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