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Finding the Fourth Proportional to 1,410.57, 2,115.81 and 436.41

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Solution

The fourth proportional to 1,410.57, 2,115.81 and 436.41 is: 654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.57 : 2,115.81 = 436.41 : x
  2. Step 2: Convert to fraction form
    1,410.57/2,115.81 = 436.41/x
  3. Step 3: Cross multiply
    1,410.57x = 2,115.81 × 436.41
  4. Step 4: Simplify right side
    1,410.57x = 923,360.64
  5. Step 5: Solve for x
    x = 923,360.64/1,410.57
  6. Step 6: Final answer
    x = 654.60

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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.