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Finding the Fourth Proportional to 1,967.81, 2,715.93 and 1,181.91

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Solution

The fourth proportional to 1,967.81, 2,715.93 and 1,181.91 is: 1,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.81 : 2,715.93 = 1,181.91 : x
  2. Step 2: Convert to fraction form
    1,967.81/2,715.93 = 1,181.91/x
  3. Step 3: Cross multiply
    1,967.81x = 2,715.93 × 1,181.91
  4. Step 4: Simplify right side
    1,967.81x = 3,209,970.21
  5. Step 5: Solve for x
    x = 3,209,970.21/1,967.81
  6. Step 6: Final answer
    x = 1,631.24

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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.