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Finding the Fourth Proportional to 1,388.37, 1,916.16 and 864.57

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Solution

The fourth proportional to 1,388.37, 1,916.16 and 864.57 is: 1,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.37 : 1,916.16 = 864.57 : x
  2. Step 2: Convert to fraction form
    1,388.37/1,916.16 = 864.57/x
  3. Step 3: Cross multiply
    1,388.37x = 1,916.16 × 864.57
  4. Step 4: Simplify right side
    1,388.37x = 1,656,654.45
  5. Step 5: Solve for x
    x = 1,656,654.45/1,388.37
  6. Step 6: Final answer
    x = 1,193.24

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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.