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Finding the Fourth Proportional to 1,338.72, 1,847.16 and 897.18

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Solution

The fourth proportional to 1,338.72, 1,847.16 and 897.18 is: 1,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.72 : 1,847.16 = 897.18 : x
  2. Step 2: Convert to fraction form
    1,338.72/1,847.16 = 897.18/x
  3. Step 3: Cross multiply
    1,338.72x = 1,847.16 × 897.18
  4. Step 4: Simplify right side
    1,338.72x = 1,657,235.01
  5. Step 5: Solve for x
    x = 1,657,235.01/1,338.72
  6. Step 6: Final answer
    x = 1,237.93

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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.