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Finding the Fourth Proportional to 2,142.48, 2,958.00 and 1,346.90

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Solution

The fourth proportional to 2,142.48, 2,958.00 and 1,346.90 is: 1,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.48 : 2,958.00 = 1,346.90 : x
  2. Step 2: Convert to fraction form
    2,142.48/2,958.00 = 1,346.90/x
  3. Step 3: Cross multiply
    2,142.48x = 2,958.00 × 1,346.90
  4. Step 4: Simplify right side
    2,142.48x = 3,984,117.94
  5. Step 5: Solve for x
    x = 3,984,117.94/2,142.48
  6. Step 6: Final answer
    x = 1,859.58

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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.