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Finding the Fourth Proportional to 2,492.32, 3,738.20 and 643.36

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Solution

The fourth proportional to 2,492.32, 3,738.20 and 643.36 is: 964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.32 : 3,738.20 = 643.36 : x
  2. Step 2: Convert to fraction form
    2,492.32/3,738.20 = 643.36/x
  3. Step 3: Cross multiply
    2,492.32x = 3,738.20 × 643.36
  4. Step 4: Simplify right side
    2,492.32x = 2,405,008.35
  5. Step 5: Solve for x
    x = 2,405,008.35/2,492.32
  6. Step 6: Final answer
    x = 964.97

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