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Finding the Fourth Proportional to 1,592.10, 2,388.12 and 654.86

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Solution

The fourth proportional to 1,592.10, 2,388.12 and 654.86 is: 982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.10 : 2,388.12 = 654.86 : x
  2. Step 2: Convert to fraction form
    1,592.10/2,388.12 = 654.86/x
  3. Step 3: Cross multiply
    1,592.10x = 2,388.12 × 654.86
  4. Step 4: Simplify right side
    1,592.10x = 1,563,884.26
  5. Step 5: Solve for x
    x = 1,563,884.26/1,592.10
  6. Step 6: Final answer
    x = 982.28

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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.