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Finding the Fourth Proportional to 2,381.42, 3,572.32 and 650

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Solution

The fourth proportional to 2,381.42, 3,572.32 and 650 is: 975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.42 : 3,572.32 = 650 : x
  2. Step 2: Convert to fraction form
    2,381.42/3,572.32 = 650/x
  3. Step 3: Cross multiply
    2,381.42x = 3,572.32 × 650
  4. Step 4: Simplify right side
    2,381.42x = 2,322,008
  5. Step 5: Solve for x
    x = 2,322,008/2,381.42
  6. Step 6: Final answer
    x = 975.05

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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.