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Finding the Fourth Proportional to 1,410.63, 2,113.17 and 922.20

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Solution

The fourth proportional to 1,410.63, 2,113.17 and 922.20 is: 1,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.63 : 2,113.17 = 922.20 : x
  2. Step 2: Convert to fraction form
    1,410.63/2,113.17 = 922.20/x
  3. Step 3: Cross multiply
    1,410.63x = 2,113.17 × 922.20
  4. Step 4: Simplify right side
    1,410.63x = 1,948,765.37
  5. Step 5: Solve for x
    x = 1,948,765.37/1,410.63
  6. Step 6: Final answer
    x = 1,381.49

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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.