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Finding the Fourth Proportional to 1,420.41, 2,130.61 and 394.41

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Solution

The fourth proportional to 1,420.41, 2,130.61 and 394.41 is: 591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.41 : 2,130.61 = 394.41 : x
  2. Step 2: Convert to fraction form
    1,420.41/2,130.61 = 394.41/x
  3. Step 3: Cross multiply
    1,420.41x = 2,130.61 × 394.41
  4. Step 4: Simplify right side
    1,420.41x = 840,333.89
  5. Step 5: Solve for x
    x = 840,333.89/1,420.41
  6. Step 6: Final answer
    x = 591.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.