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Finding the Fourth Proportional to 1,435.15, 1,976.43 and 1,234.45

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Solution

The fourth proportional to 1,435.15, 1,976.43 and 1,234.45 is: 1,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.15 : 1,976.43 = 1,234.45 : x
  2. Step 2: Convert to fraction form
    1,435.15/1,976.43 = 1,234.45/x
  3. Step 3: Cross multiply
    1,435.15x = 1,976.43 × 1,234.45
  4. Step 4: Simplify right side
    1,435.15x = 2,439,804.01
  5. Step 5: Solve for x
    x = 2,439,804.01/1,435.15
  6. Step 6: Final answer
    x = 1,700.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.