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Finding the Fourth Proportional to 2,381.76, 3,572.82 and 650.16

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Solution

The fourth proportional to 2,381.76, 3,572.82 and 650.16 is: 975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.76 : 3,572.82 = 650.16 : x
  2. Step 2: Convert to fraction form
    2,381.76/3,572.82 = 650.16/x
  3. Step 3: Cross multiply
    2,381.76x = 3,572.82 × 650.16
  4. Step 4: Simplify right side
    2,381.76x = 2,322,904.65
  5. Step 5: Solve for x
    x = 2,322,904.65/2,381.76
  6. Step 6: Final answer
    x = 975.29

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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.