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Finding the Fourth Proportional to 1,957.50, 2,701.42 and 1,462.59

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Solution

The fourth proportional to 1,957.50, 2,701.42 and 1,462.59 is: 2,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.50 : 2,701.42 = 1,462.59 : x
  2. Step 2: Convert to fraction form
    1,957.50/2,701.42 = 1,462.59/x
  3. Step 3: Cross multiply
    1,957.50x = 2,701.42 × 1,462.59
  4. Step 4: Simplify right side
    1,957.50x = 3,951,066.22
  5. Step 5: Solve for x
    x = 3,951,066.22/1,957.50
  6. Step 6: Final answer
    x = 2,018.42

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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.