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Finding the Fourth Proportional to 1,621.96, 2,431.00 and 929.10

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Solution

The fourth proportional to 1,621.96, 2,431.00 and 929.10 is: 1,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.96 : 2,431.00 = 929.10 : x
  2. Step 2: Convert to fraction form
    1,621.96/2,431.00 = 929.10/x
  3. Step 3: Cross multiply
    1,621.96x = 2,431.00 × 929.10
  4. Step 4: Simplify right side
    1,621.96x = 2,258,637.45
  5. Step 5: Solve for x
    x = 2,258,637.45/1,621.96
  6. Step 6: Final answer
    x = 1,392.54

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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.