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Finding the Fourth Proportional to 2,141.89, 2,957.12 and 1,434.76

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Solution

The fourth proportional to 2,141.89, 2,957.12 and 1,434.76 is: 1,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.89 : 2,957.12 = 1,434.76 : x
  2. Step 2: Convert to fraction form
    2,141.89/2,957.12 = 1,434.76/x
  3. Step 3: Cross multiply
    2,141.89x = 2,957.12 × 1,434.76
  4. Step 4: Simplify right side
    2,141.89x = 4,242,757.49
  5. Step 5: Solve for x
    x = 4,242,757.49/2,141.89
  6. Step 6: Final answer
    x = 1,980.85

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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.