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Finding the Fourth Proportional to 1,435.66, 2,150.64 and 947.23

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Solution

The fourth proportional to 1,435.66, 2,150.64 and 947.23 is: 1,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.66 : 2,150.64 = 947.23 : x
  2. Step 2: Convert to fraction form
    1,435.66/2,150.64 = 947.23/x
  3. Step 3: Cross multiply
    1,435.66x = 2,150.64 × 947.23
  4. Step 4: Simplify right side
    1,435.66x = 2,037,150.73
  5. Step 5: Solve for x
    x = 2,037,150.73/1,435.66
  6. Step 6: Final answer
    x = 1,418.96

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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.