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Finding the Fourth Proportional to 1,652.34, 2,478.51 and 419.75

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Solution

The fourth proportional to 1,652.34, 2,478.51 and 419.75 is: 629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.34 : 2,478.51 = 419.75 : x
  2. Step 2: Convert to fraction form
    1,652.34/2,478.51 = 419.75/x
  3. Step 3: Cross multiply
    1,652.34x = 2,478.51 × 419.75
  4. Step 4: Simplify right side
    1,652.34x = 1,040,340.08
  5. Step 5: Solve for x
    x = 1,040,340.08/1,652.34
  6. Step 6: Final answer
    x = 629.62

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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.