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Finding the Fourth Proportional to 1,492.04, 2,238.05 and 626.36

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Solution

The fourth proportional to 1,492.04, 2,238.05 and 626.36 is: 939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.04 : 2,238.05 = 626.36 : x
  2. Step 2: Convert to fraction form
    1,492.04/2,238.05 = 626.36/x
  3. Step 3: Cross multiply
    1,492.04x = 2,238.05 × 626.36
  4. Step 4: Simplify right side
    1,492.04x = 1,401,815.37
  5. Step 5: Solve for x
    x = 1,401,815.37/1,492.04
  6. Step 6: Final answer
    x = 939.53

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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.