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Finding the Fourth Proportional to 1,652.11, 2,478.18 and 419.53

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Solution

The fourth proportional to 1,652.11, 2,478.18 and 419.53 is: 629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.11 : 2,478.18 = 419.53 : x
  2. Step 2: Convert to fraction form
    1,652.11/2,478.18 = 419.53/x
  3. Step 3: Cross multiply
    1,652.11x = 2,478.18 × 419.53
  4. Step 4: Simplify right side
    1,652.11x = 1,039,670.86
  5. Step 5: Solve for x
    x = 1,039,670.86/1,652.11
  6. Step 6: Final answer
    x = 629.30

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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.