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Finding the Fourth Proportional to 2,142.82, 2,958.42 and 1,358.20

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Solution

The fourth proportional to 2,142.82, 2,958.42 and 1,358.20 is: 1,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.82 : 2,958.42 = 1,358.20 : x
  2. Step 2: Convert to fraction form
    2,142.82/2,958.42 = 1,358.20/x
  3. Step 3: Cross multiply
    2,142.82x = 2,958.42 × 1,358.20
  4. Step 4: Simplify right side
    2,142.82x = 4,018,126.04
  5. Step 5: Solve for x
    x = 4,018,126.04/2,142.82
  6. Step 6: Final answer
    x = 1,875.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.