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Finding the Fourth Proportional to 1,661.90, 2,492.00 and 737.73

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Solution

The fourth proportional to 1,661.90, 2,492.00 and 737.73 is: 1,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.90 : 2,492.00 = 737.73 : x
  2. Step 2: Convert to fraction form
    1,661.90/2,492.00 = 737.73/x
  3. Step 3: Cross multiply
    1,661.90x = 2,492.00 × 737.73
  4. Step 4: Simplify right side
    1,661.90x = 1,838,419.47
  5. Step 5: Solve for x
    x = 1,838,419.47/1,661.90
  6. Step 6: Final answer
    x = 1,106.22

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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.