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Finding the Fourth Proportional to 2,381.46, 3,572.13 and 650.10

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Solution

The fourth proportional to 2,381.46, 3,572.13 and 650.10 is: 975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.46 : 3,572.13 = 650.10 : x
  2. Step 2: Convert to fraction form
    2,381.46/3,572.13 = 650.10/x
  3. Step 3: Cross multiply
    2,381.46x = 3,572.13 × 650.10
  4. Step 4: Simplify right side
    2,381.46x = 2,322,241.71
  5. Step 5: Solve for x
    x = 2,322,241.71/2,381.46
  6. Step 6: Final answer
    x = 975.13

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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.