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Finding the Fourth Proportional to 2,141.96, 2,957.65 and 1,583.06

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Solution

The fourth proportional to 2,141.96, 2,957.65 and 1,583.06 is: 2,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.96 : 2,957.65 = 1,583.06 : x
  2. Step 2: Convert to fraction form
    2,141.96/2,957.65 = 1,583.06/x
  3. Step 3: Cross multiply
    2,141.96x = 2,957.65 × 1,583.06
  4. Step 4: Simplify right side
    2,141.96x = 4,682,118.66
  5. Step 5: Solve for x
    x = 4,682,118.66/2,141.96
  6. Step 6: Final answer
    x = 2,185.91

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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.