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Finding the Fourth Proportional to 1,663.87, 2,492.61 and 931.22

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Solution

The fourth proportional to 1,663.87, 2,492.61 and 931.22 is: 1,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.87 : 2,492.61 = 931.22 : x
  2. Step 2: Convert to fraction form
    1,663.87/2,492.61 = 931.22/x
  3. Step 3: Cross multiply
    1,663.87x = 2,492.61 × 931.22
  4. Step 4: Simplify right side
    1,663.87x = 2,321,163.63
  5. Step 5: Solve for x
    x = 2,321,163.63/1,663.87
  6. Step 6: Final answer
    x = 1,395.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.