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Finding the Fourth Proportional to 2,142.80, 2,958.90 and 1,358.24

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Solution

The fourth proportional to 2,142.80, 2,958.90 and 1,358.24 is: 1,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.80 : 2,958.90 = 1,358.24 : x
  2. Step 2: Convert to fraction form
    2,142.80/2,958.90 = 1,358.24/x
  3. Step 3: Cross multiply
    2,142.80x = 2,958.90 × 1,358.24
  4. Step 4: Simplify right side
    2,142.80x = 4,018,896.34
  5. Step 5: Solve for x
    x = 4,018,896.34/2,142.80
  6. Step 6: Final answer
    x = 1,875.53

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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.