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Finding the Fourth Proportional to 1,971, 2,719.98 and 1,143

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Solution

The fourth proportional to 1,971, 2,719.98 and 1,143 is: 1,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971 : 2,719.98 = 1,143 : x
  2. Step 2: Convert to fraction form
    1,971/2,719.98 = 1,143/x
  3. Step 3: Cross multiply
    1,971x = 2,719.98 × 1,143
  4. Step 4: Simplify right side
    1,971x = 3,108,937.14
  5. Step 5: Solve for x
    x = 3,108,937.14/1,971
  6. Step 6: Final answer
    x = 1,577.34

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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.