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Finding the Fourth Proportional to 2,157.02, 3,235.56 and 923.19

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Solution

The fourth proportional to 2,157.02, 3,235.56 and 923.19 is: 1,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.02 : 3,235.56 = 923.19 : x
  2. Step 2: Convert to fraction form
    2,157.02/3,235.56 = 923.19/x
  3. Step 3: Cross multiply
    2,157.02x = 3,235.56 × 923.19
  4. Step 4: Simplify right side
    2,157.02x = 2,987,036.64
  5. Step 5: Solve for x
    x = 2,987,036.64/2,157.02
  6. Step 6: Final answer
    x = 1,384.80

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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.