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Finding the Fourth Proportional to 1,943.32, 2,682.32 and 1,158

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Solution

The fourth proportional to 1,943.32, 2,682.32 and 1,158 is: 1,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.32 : 2,682.32 = 1,158 : x
  2. Step 2: Convert to fraction form
    1,943.32/2,682.32 = 1,158/x
  3. Step 3: Cross multiply
    1,943.32x = 2,682.32 × 1,158
  4. Step 4: Simplify right side
    1,943.32x = 3,106,126.56
  5. Step 5: Solve for x
    x = 3,106,126.56/1,943.32
  6. Step 6: Final answer
    x = 1,598.36

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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.