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Finding the Fourth Proportional to 1,355.67, 1,872.37 and 912.81

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Solution

The fourth proportional to 1,355.67, 1,872.37 and 912.81 is: 1,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.67 : 1,872.37 = 912.81 : x
  2. Step 2: Convert to fraction form
    1,355.67/1,872.37 = 912.81/x
  3. Step 3: Cross multiply
    1,355.67x = 1,872.37 × 912.81
  4. Step 4: Simplify right side
    1,355.67x = 1,709,118.06
  5. Step 5: Solve for x
    x = 1,709,118.06/1,355.67
  6. Step 6: Final answer
    x = 1,260.72

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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.